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Finding the Third Proportional to 58,251.66 and 85,463.86

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Solution

The third proportional to 58,251.66 and 85,463.86 is: 125,388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,251.66 : 85,463.86 = 85,463.86 : x
  2. Step 2: Convert to fraction form
    58,251.66/85,463.86 = 85,463.86/x
  3. Step 3: Cross multiply
    58,251.66x = 85,463.86 × 85,463.86
  4. Step 4: Simplify right side
    58,251.66x = 7,304,071,259.27
  5. Step 5: Solve for x
    x = 7,304,071,259.27/58,251.66
  6. Step 6: Final answer
    x = 125,388.22

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.