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Finding the Third Proportional to 70,023 and 153,652

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Solution

The third proportional to 70,023 and 153,652 is: 337,159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,023 : 153,652 = 153,652 : x
  2. Step 2: Convert to fraction form
    70,023/153,652 = 153,652/x
  3. Step 3: Cross multiply
    70,023x = 153,652 × 153,652
  4. Step 4: Simplify right side
    70,023x = 23,608,937,104
  5. Step 5: Solve for x
    x = 23,608,937,104/70,023
  6. Step 6: Final answer
    x = 337,159.75

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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.