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Finding the Third Proportional to 72,770 and 156,607

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Solution

The third proportional to 72,770 and 156,607 is: 337,031.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,770 : 156,607 = 156,607 : x
  2. Step 2: Convert to fraction form
    72,770/156,607 = 156,607/x
  3. Step 3: Cross multiply
    72,770x = 156,607 × 156,607
  4. Step 4: Simplify right side
    72,770x = 24,525,752,449
  5. Step 5: Solve for x
    x = 24,525,752,449/72,770
  6. Step 6: Final answer
    x = 337,031.09

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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.