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Finding the Third Proportional to 56,708 and 123,254

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Solution

The third proportional to 56,708 and 123,254 is: 267,890.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,708 : 123,254 = 123,254 : x
  2. Step 2: Convert to fraction form
    56,708/123,254 = 123,254/x
  3. Step 3: Cross multiply
    56,708x = 123,254 × 123,254
  4. Step 4: Simplify right side
    56,708x = 15,191,548,516
  5. Step 5: Solve for x
    x = 15,191,548,516/56,708
  6. Step 6: Final answer
    x = 267,890.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.