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Finding the Third Proportional to 124,672.50 and 267,205.50

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Solution

The third proportional to 124,672.50 and 267,205.50 is: 572,690.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,672.50 : 267,205.50 = 267,205.50 : x
  2. Step 2: Convert to fraction form
    124,672.50/267,205.50 = 267,205.50/x
  3. Step 3: Cross multiply
    124,672.50x = 267,205.50 × 267,205.50
  4. Step 4: Simplify right side
    124,672.50x = 71,398,779,230.25
  5. Step 5: Solve for x
    x = 71,398,779,230.25/124,672.50
  6. Step 6: Final answer
    x = 572,690.68

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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.