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Finding the Third Proportional to 125,424.50 and 267,858.50

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Solution

The third proportional to 125,424.50 and 267,858.50 is: 572,042.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,424.50 : 267,858.50 = 267,858.50 : x
  2. Step 2: Convert to fraction form
    125,424.50/267,858.50 = 267,858.50/x
  3. Step 3: Cross multiply
    125,424.50x = 267,858.50 × 267,858.50
  4. Step 4: Simplify right side
    125,424.50x = 71,748,176,022.25
  5. Step 5: Solve for x
    x = 71,748,176,022.25/125,424.50
  6. Step 6: Final answer
    x = 572,042.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.