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Finding the Third Proportional to 102,860 and 156,657

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Solution

The third proportional to 102,860 and 156,657 is: 238,590.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,860 : 156,657 = 156,657 : x
  2. Step 2: Convert to fraction form
    102,860/156,657 = 156,657/x
  3. Step 3: Cross multiply
    102,860x = 156,657 × 156,657
  4. Step 4: Simplify right side
    102,860x = 24,541,415,649
  5. Step 5: Solve for x
    x = 24,541,415,649/102,860
  6. Step 6: Final answer
    x = 238,590.47

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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.