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Finding the Third Proportional to 58,542 and 83,655

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Solution

The third proportional to 58,542 and 83,655 is: 119,540.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,542 : 83,655 = 83,655 : x
  2. Step 2: Convert to fraction form
    58,542/83,655 = 83,655/x
  3. Step 3: Cross multiply
    58,542x = 83,655 × 83,655
  4. Step 4: Simplify right side
    58,542x = 6,998,159,025
  5. Step 5: Solve for x
    x = 6,998,159,025/58,542
  6. Step 6: Final answer
    x = 119,540.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.