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Finding the Third Proportional to 124,862 and 267,220

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Solution

The third proportional to 124,862 and 267,220 is: 571,883.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,862 : 267,220 = 267,220 : x
  2. Step 2: Convert to fraction form
    124,862/267,220 = 267,220/x
  3. Step 3: Cross multiply
    124,862x = 267,220 × 267,220
  4. Step 4: Simplify right side
    124,862x = 71,406,528,400
  5. Step 5: Solve for x
    x = 71,406,528,400/124,862
  6. Step 6: Final answer
    x = 571,883.59

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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.