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Finding the Third Proportional to 125,421.75 and 267,853.50

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Solution

The third proportional to 125,421.75 and 267,853.50 is: 572,033.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,421.75 : 267,853.50 = 267,853.50 : x
  2. Step 2: Convert to fraction form
    125,421.75/267,853.50 = 267,853.50/x
  3. Step 3: Cross multiply
    125,421.75x = 267,853.50 × 267,853.50
  4. Step 4: Simplify right side
    125,421.75x = 71,745,497,462.25
  5. Step 5: Solve for x
    x = 71,745,497,462.25/125,421.75
  6. Step 6: Final answer
    x = 572,033.94

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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.