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Finding the Third Proportional to 73,200 and 99,424

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Solution

The third proportional to 73,200 and 99,424 is: 135,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,200 : 99,424 = 99,424 : x
  2. Step 2: Convert to fraction form
    73,200/99,424 = 99,424/x
  3. Step 3: Cross multiply
    73,200x = 99,424 × 99,424
  4. Step 4: Simplify right side
    73,200x = 9,885,131,776
  5. Step 5: Solve for x
    x = 9,885,131,776/73,200
  6. Step 6: Final answer
    x = 135,042.78

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.