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Finding the Third Proportional to 60,057.07 and 127,523.74

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Solution

The third proportional to 60,057.07 and 127,523.74 is: 270,780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,057.07 : 127,523.74 = 127,523.74 : x
  2. Step 2: Convert to fraction form
    60,057.07/127,523.74 = 127,523.74/x
  3. Step 3: Cross multiply
    60,057.07x = 127,523.74 × 127,523.74
  4. Step 4: Simplify right side
    60,057.07x = 16,262,304,821.50
  5. Step 5: Solve for x
    x = 16,262,304,821.50/60,057.07
  6. Step 6: Final answer
    x = 270,780.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.