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Finding the Third Proportional to 89,042 and 124,491

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Solution

The third proportional to 89,042 and 124,491 is: 174,052.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,042 : 124,491 = 124,491 : x
  2. Step 2: Convert to fraction form
    89,042/124,491 = 124,491/x
  3. Step 3: Cross multiply
    89,042x = 124,491 × 124,491
  4. Step 4: Simplify right side
    89,042x = 15,498,009,081
  5. Step 5: Solve for x
    x = 15,498,009,081/89,042
  6. Step 6: Final answer
    x = 174,052.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.