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Finding the Third Proportional to 124,656 and 267,024

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Solution

The third proportional to 124,656 and 267,024 is: 571,988.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,656 : 267,024 = 267,024 : x
  2. Step 2: Convert to fraction form
    124,656/267,024 = 267,024/x
  3. Step 3: Cross multiply
    124,656x = 267,024 × 267,024
  4. Step 4: Simplify right side
    124,656x = 71,301,816,576
  5. Step 5: Solve for x
    x = 71,301,816,576/124,656
  6. Step 6: Final answer
    x = 571,988.65

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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.