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Finding the Third Proportional to 67,332 and 147,780

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Solution

The third proportional to 67,332 and 147,780 is: 324,346.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,332 : 147,780 = 147,780 : x
  2. Step 2: Convert to fraction form
    67,332/147,780 = 147,780/x
  3. Step 3: Cross multiply
    67,332x = 147,780 × 147,780
  4. Step 4: Simplify right side
    67,332x = 21,838,928,400
  5. Step 5: Solve for x
    x = 21,838,928,400/67,332
  6. Step 6: Final answer
    x = 324,346.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.