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Finding the Third Proportional to 101,327 and 156,911

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Solution

The third proportional to 101,327 and 156,911 is: 242,986.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,327 : 156,911 = 156,911 : x
  2. Step 2: Convert to fraction form
    101,327/156,911 = 156,911/x
  3. Step 3: Cross multiply
    101,327x = 156,911 × 156,911
  4. Step 4: Simplify right side
    101,327x = 24,621,061,921
  5. Step 5: Solve for x
    x = 24,621,061,921/101,327
  6. Step 6: Final answer
    x = 242,986.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.