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Finding the Third Proportional to 70,107.75 and 153,339.75

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Solution

The third proportional to 70,107.75 and 153,339.75 is: 335,384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,107.75 : 153,339.75 = 153,339.75 : x
  2. Step 2: Convert to fraction form
    70,107.75/153,339.75 = 153,339.75/x
  3. Step 3: Cross multiply
    70,107.75x = 153,339.75 × 153,339.75
  4. Step 4: Simplify right side
    70,107.75x = 23,513,078,930.06
  5. Step 5: Solve for x
    x = 23,513,078,930.06/70,107.75
  6. Step 6: Final answer
    x = 335,384.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.