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Finding the Third Proportional to 67,432 and 147,320

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Solution

The third proportional to 67,432 and 147,320 is: 321,852.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,432 : 147,320 = 147,320 : x
  2. Step 2: Convert to fraction form
    67,432/147,320 = 147,320/x
  3. Step 3: Cross multiply
    67,432x = 147,320 × 147,320
  4. Step 4: Simplify right side
    67,432x = 21,703,182,400
  5. Step 5: Solve for x
    x = 21,703,182,400/67,432
  6. Step 6: Final answer
    x = 321,852.87

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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.