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Finding the Third Proportional to 62,788 and 89,262

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Solution

The third proportional to 62,788 and 89,262 is: 126,898.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,788 : 89,262 = 89,262 : x
  2. Step 2: Convert to fraction form
    62,788/89,262 = 89,262/x
  3. Step 3: Cross multiply
    62,788x = 89,262 × 89,262
  4. Step 4: Simplify right side
    62,788x = 7,967,704,644
  5. Step 5: Solve for x
    x = 7,967,704,644/62,788
  6. Step 6: Final answer
    x = 126,898.53

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.