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Finding the Third Proportional to 101,742 and 218,532

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Solution

The third proportional to 101,742 and 218,532 is: 469,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,742 : 218,532 = 218,532 : x
  2. Step 2: Convert to fraction form
    101,742/218,532 = 218,532/x
  3. Step 3: Cross multiply
    101,742x = 218,532 × 218,532
  4. Step 4: Simplify right side
    101,742x = 47,756,235,024
  5. Step 5: Solve for x
    x = 47,756,235,024/101,742
  6. Step 6: Final answer
    x = 469,385.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.