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Finding the Third Proportional to 72,720 and 108,592

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Solution

The third proportional to 72,720 and 108,592 is: 162,159.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,720 : 108,592 = 108,592 : x
  2. Step 2: Convert to fraction form
    72,720/108,592 = 108,592/x
  3. Step 3: Cross multiply
    72,720x = 108,592 × 108,592
  4. Step 4: Simplify right side
    72,720x = 11,792,222,464
  5. Step 5: Solve for x
    x = 11,792,222,464/72,720
  6. Step 6: Final answer
    x = 162,159.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.