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Finding the Third Proportional to 103,317 and 156,535

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Solution

The third proportional to 103,317 and 156,535 is: 237,165.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,317 : 156,535 = 156,535 : x
  2. Step 2: Convert to fraction form
    103,317/156,535 = 156,535/x
  3. Step 3: Cross multiply
    103,317x = 156,535 × 156,535
  4. Step 4: Simplify right side
    103,317x = 24,503,206,225
  5. Step 5: Solve for x
    x = 24,503,206,225/103,317
  6. Step 6: Final answer
    x = 237,165.29

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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.