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Finding the Third Proportional to 60,077.53 and 127,920.94

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Solution

The third proportional to 60,077.53 and 127,920.94 is: 272,377.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,077.53 : 127,920.94 = 127,920.94 : x
  2. Step 2: Convert to fraction form
    60,077.53/127,920.94 = 127,920.94/x
  3. Step 3: Cross multiply
    60,077.53x = 127,920.94 × 127,920.94
  4. Step 4: Simplify right side
    60,077.53x = 16,363,766,250.88
  5. Step 5: Solve for x
    x = 16,363,766,250.88/60,077.53
  6. Step 6: Final answer
    x = 272,377.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.