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Finding the Third Proportional to 103,972 and 156,697

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Solution

The third proportional to 103,972 and 156,697 is: 236,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,972 : 156,697 = 156,697 : x
  2. Step 2: Convert to fraction form
    103,972/156,697 = 156,697/x
  3. Step 3: Cross multiply
    103,972x = 156,697 × 156,697
  4. Step 4: Simplify right side
    103,972x = 24,553,949,809
  5. Step 5: Solve for x
    x = 24,553,949,809/103,972
  6. Step 6: Final answer
    x = 236,159.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.