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Finding the Third Proportional to 73,842 and 114,552

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Solution

The third proportional to 73,842 and 114,552 is: 177,705.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,842 : 114,552 = 114,552 : x
  2. Step 2: Convert to fraction form
    73,842/114,552 = 114,552/x
  3. Step 3: Cross multiply
    73,842x = 114,552 × 114,552
  4. Step 4: Simplify right side
    73,842x = 13,122,160,704
  5. Step 5: Solve for x
    x = 13,122,160,704/73,842
  6. Step 6: Final answer
    x = 177,705.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.