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Finding the Third Proportional to 67,560 and 101,377

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Solution

The third proportional to 67,560 and 101,377 is: 152,121.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,560 : 101,377 = 101,377 : x
  2. Step 2: Convert to fraction form
    67,560/101,377 = 101,377/x
  3. Step 3: Cross multiply
    67,560x = 101,377 × 101,377
  4. Step 4: Simplify right side
    67,560x = 10,277,296,129
  5. Step 5: Solve for x
    x = 10,277,296,129/67,560
  6. Step 6: Final answer
    x = 152,121.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.