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Finding the Third Proportional to 52,002 and 82,863

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Solution

The third proportional to 52,002 and 82,863 is: 132,038.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,002 : 82,863 = 82,863 : x
  2. Step 2: Convert to fraction form
    52,002/82,863 = 82,863/x
  3. Step 3: Cross multiply
    52,002x = 82,863 × 82,863
  4. Step 4: Simplify right side
    52,002x = 6,866,276,769
  5. Step 5: Solve for x
    x = 6,866,276,769/52,002
  6. Step 6: Final answer
    x = 132,038.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.