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Finding the Third Proportional to 100,971 and 156,793

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Solution

The third proportional to 100,971 and 156,793 is: 243,476.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,971 : 156,793 = 156,793 : x
  2. Step 2: Convert to fraction form
    100,971/156,793 = 156,793/x
  3. Step 3: Cross multiply
    100,971x = 156,793 × 156,793
  4. Step 4: Simplify right side
    100,971x = 24,584,044,849
  5. Step 5: Solve for x
    x = 24,584,044,849/100,971
  6. Step 6: Final answer
    x = 243,476.29

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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.