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Finding the Third Proportional to 71,394 and 132,216

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Solution

The third proportional to 71,394 and 132,216 is: 244,853.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,394 : 132,216 = 132,216 : x
  2. Step 2: Convert to fraction form
    71,394/132,216 = 132,216/x
  3. Step 3: Cross multiply
    71,394x = 132,216 × 132,216
  4. Step 4: Simplify right side
    71,394x = 17,481,070,656
  5. Step 5: Solve for x
    x = 17,481,070,656/71,394
  6. Step 6: Final answer
    x = 244,853.50

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.