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Finding the Third Proportional to 58,074 and 89,730

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Solution

The third proportional to 58,074 and 89,730 is: 138,641.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,074 : 89,730 = 89,730 : x
  2. Step 2: Convert to fraction form
    58,074/89,730 = 89,730/x
  3. Step 3: Cross multiply
    58,074x = 89,730 × 89,730
  4. Step 4: Simplify right side
    58,074x = 8,051,472,900
  5. Step 5: Solve for x
    x = 8,051,472,900/58,074
  6. Step 6: Final answer
    x = 138,641.61

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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.