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Finding the Third Proportional to 100,337 and 156,041

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Solution

The third proportional to 100,337 and 156,041 is: 242,670.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,337 : 156,041 = 156,041 : x
  2. Step 2: Convert to fraction form
    100,337/156,041 = 156,041/x
  3. Step 3: Cross multiply
    100,337x = 156,041 × 156,041
  4. Step 4: Simplify right side
    100,337x = 24,348,793,681
  5. Step 5: Solve for x
    x = 24,348,793,681/100,337
  6. Step 6: Final answer
    x = 242,670.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.