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Finding the Third Proportional to 67,750 and 147,564

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Solution

The third proportional to 67,750 and 147,564 is: 321,404.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,750 : 147,564 = 147,564 : x
  2. Step 2: Convert to fraction form
    67,750/147,564 = 147,564/x
  3. Step 3: Cross multiply
    67,750x = 147,564 × 147,564
  4. Step 4: Simplify right side
    67,750x = 21,775,134,096
  5. Step 5: Solve for x
    x = 21,775,134,096/67,750
  6. Step 6: Final answer
    x = 321,404.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.