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Finding the Third Proportional to 70,665.75 and 153,815.63

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Solution

The third proportional to 70,665.75 and 153,815.63 is: 334,805.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,665.75 : 153,815.63 = 153,815.63 : x
  2. Step 2: Convert to fraction form
    70,665.75/153,815.63 = 153,815.63/x
  3. Step 3: Cross multiply
    70,665.75x = 153,815.63 × 153,815.63
  4. Step 4: Simplify right side
    70,665.75x = 23,659,246,494.14
  5. Step 5: Solve for x
    x = 23,659,246,494.14/70,665.75
  6. Step 6: Final answer
    x = 334,805.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.