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Finding the Third Proportional to 67,829 and 147,331

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Solution

The third proportional to 67,829 and 147,331 is: 320,016.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,829 : 147,331 = 147,331 : x
  2. Step 2: Convert to fraction form
    67,829/147,331 = 147,331/x
  3. Step 3: Cross multiply
    67,829x = 147,331 × 147,331
  4. Step 4: Simplify right side
    67,829x = 21,706,423,561
  5. Step 5: Solve for x
    x = 21,706,423,561/67,829
  6. Step 6: Final answer
    x = 320,016.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.