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Finding the Third Proportional to 60,224.25 and 127,231.50

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Solution

The third proportional to 60,224.25 and 127,231.50 is: 268,792.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,224.25 : 127,231.50 = 127,231.50 : x
  2. Step 2: Convert to fraction form
    60,224.25/127,231.50 = 127,231.50/x
  3. Step 3: Cross multiply
    60,224.25x = 127,231.50 × 127,231.50
  4. Step 4: Simplify right side
    60,224.25x = 16,187,854,592.25
  5. Step 5: Solve for x
    x = 16,187,854,592.25/60,224.25
  6. Step 6: Final answer
    x = 268,792.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.