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Finding the Third Proportional to 72,728 and 156,931

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Solution

The third proportional to 72,728 and 156,931 is: 338,622.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,728 : 156,931 = 156,931 : x
  2. Step 2: Convert to fraction form
    72,728/156,931 = 156,931/x
  3. Step 3: Cross multiply
    72,728x = 156,931 × 156,931
  4. Step 4: Simplify right side
    72,728x = 24,627,338,761
  5. Step 5: Solve for x
    x = 24,627,338,761/72,728
  6. Step 6: Final answer
    x = 338,622.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.