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Finding the Third Proportional to 124,660 and 267,032

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Solution

The third proportional to 124,660 and 267,032 is: 572,004.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,660 : 267,032 = 267,032 : x
  2. Step 2: Convert to fraction form
    124,660/267,032 = 267,032/x
  3. Step 3: Cross multiply
    124,660x = 267,032 × 267,032
  4. Step 4: Simplify right side
    124,660x = 71,306,089,024
  5. Step 5: Solve for x
    x = 71,306,089,024/124,660
  6. Step 6: Final answer
    x = 572,004.56

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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.