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Finding the Third Proportional to 124,134.50 and 267,955

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Solution

The third proportional to 124,134.50 and 267,955 is: 578,403.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,134.50 : 267,955 = 267,955 : x
  2. Step 2: Convert to fraction form
    124,134.50/267,955 = 267,955/x
  3. Step 3: Cross multiply
    124,134.50x = 267,955 × 267,955
  4. Step 4: Simplify right side
    124,134.50x = 71,799,882,025
  5. Step 5: Solve for x
    x = 71,799,882,025/124,134.50
  6. Step 6: Final answer
    x = 578,403.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.