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Finding the Third Proportional to 102,856 and 156,651

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Solution

The third proportional to 102,856 and 156,651 is: 238,581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,856 : 156,651 = 156,651 : x
  2. Step 2: Convert to fraction form
    102,856/156,651 = 156,651/x
  3. Step 3: Cross multiply
    102,856x = 156,651 × 156,651
  4. Step 4: Simplify right side
    102,856x = 24,539,535,801
  5. Step 5: Solve for x
    x = 24,539,535,801/102,856
  6. Step 6: Final answer
    x = 238,581.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.