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Finding the Third Proportional to 62,842 and 89,606

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Solution

The third proportional to 62,842 and 89,606 is: 127,768.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,842 : 89,606 = 89,606 : x
  2. Step 2: Convert to fraction form
    62,842/89,606 = 89,606/x
  3. Step 3: Cross multiply
    62,842x = 89,606 × 89,606
  4. Step 4: Simplify right side
    62,842x = 8,029,235,236
  5. Step 5: Solve for x
    x = 8,029,235,236/62,842
  6. Step 6: Final answer
    x = 127,768.61

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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.