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Finding the Third Proportional to 72,698 and 156,532

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Solution

The third proportional to 72,698 and 156,532 is: 337,041.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,698 : 156,532 = 156,532 : x
  2. Step 2: Convert to fraction form
    72,698/156,532 = 156,532/x
  3. Step 3: Cross multiply
    72,698x = 156,532 × 156,532
  4. Step 4: Simplify right side
    72,698x = 24,502,267,024
  5. Step 5: Solve for x
    x = 24,502,267,024/72,698
  6. Step 6: Final answer
    x = 337,041.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.