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Finding the Third Proportional to 72,332 and 108,112

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Solution

The third proportional to 72,332 and 108,112 is: 161,591.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,332 : 108,112 = 108,112 : x
  2. Step 2: Convert to fraction form
    72,332/108,112 = 108,112/x
  3. Step 3: Cross multiply
    72,332x = 108,112 × 108,112
  4. Step 4: Simplify right side
    72,332x = 11,688,204,544
  5. Step 5: Solve for x
    x = 11,688,204,544/72,332
  6. Step 6: Final answer
    x = 161,591.06

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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.