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Finding the Third Proportional to 101,069 and 156,932

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Solution

The third proportional to 101,069 and 156,932 is: 243,671.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,069 : 156,932 = 156,932 : x
  2. Step 2: Convert to fraction form
    101,069/156,932 = 156,932/x
  3. Step 3: Cross multiply
    101,069x = 156,932 × 156,932
  4. Step 4: Simplify right side
    101,069x = 24,627,652,624
  5. Step 5: Solve for x
    x = 24,627,652,624/101,069
  6. Step 6: Final answer
    x = 243,671.68

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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.