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Finding the Third Proportional to 127,365.75 and 267,124.50

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Solution

The third proportional to 127,365.75 and 267,124.50 is: 560,240.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,365.75 : 267,124.50 = 267,124.50 : x
  2. Step 2: Convert to fraction form
    127,365.75/267,124.50 = 267,124.50/x
  3. Step 3: Cross multiply
    127,365.75x = 267,124.50 × 267,124.50
  4. Step 4: Simplify right side
    127,365.75x = 71,355,498,500.25
  5. Step 5: Solve for x
    x = 71,355,498,500.25/127,365.75
  6. Step 6: Final answer
    x = 560,240.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.