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Finding the Third Proportional to 67,872 and 147,792

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Solution

The third proportional to 67,872 and 147,792 is: 321,818.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,872 : 147,792 = 147,792 : x
  2. Step 2: Convert to fraction form
    67,872/147,792 = 147,792/x
  3. Step 3: Cross multiply
    67,872x = 147,792 × 147,792
  4. Step 4: Simplify right side
    67,872x = 21,842,475,264
  5. Step 5: Solve for x
    x = 21,842,475,264/67,872
  6. Step 6: Final answer
    x = 321,818.65

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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.