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Finding the Third Proportional to 58,442 and 82,695

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Solution

The third proportional to 58,442 and 82,695 is: 117,012.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,442 : 82,695 = 82,695 : x
  2. Step 2: Convert to fraction form
    58,442/82,695 = 82,695/x
  3. Step 3: Cross multiply
    58,442x = 82,695 × 82,695
  4. Step 4: Simplify right side
    58,442x = 6,838,463,025
  5. Step 5: Solve for x
    x = 6,838,463,025/58,442
  6. Step 6: Final answer
    x = 117,012.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.