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Finding the Third Proportional to 67,560 and 150,654

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Solution

The third proportional to 67,560 and 150,654 is: 335,947.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,560 : 150,654 = 150,654 : x
  2. Step 2: Convert to fraction form
    67,560/150,654 = 150,654/x
  3. Step 3: Cross multiply
    67,560x = 150,654 × 150,654
  4. Step 4: Simplify right side
    67,560x = 22,696,627,716
  5. Step 5: Solve for x
    x = 22,696,627,716/67,560
  6. Step 6: Final answer
    x = 335,947.72

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.