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Finding the Third Proportional to 62,471 and 89,035

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Solution

The third proportional to 62,471 and 89,035 is: 126,894.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,471 : 89,035 = 89,035 : x
  2. Step 2: Convert to fraction form
    62,471/89,035 = 89,035/x
  3. Step 3: Cross multiply
    62,471x = 89,035 × 89,035
  4. Step 4: Simplify right side
    62,471x = 7,927,231,225
  5. Step 5: Solve for x
    x = 7,927,231,225/62,471
  6. Step 6: Final answer
    x = 126,894.58

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.