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Finding the Third Proportional to 124,138.83 and 267,956.86

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Solution

The third proportional to 124,138.83 and 267,956.86 is: 578,391.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,138.83 : 267,956.86 = 267,956.86 : x
  2. Step 2: Convert to fraction form
    124,138.83/267,956.86 = 267,956.86/x
  3. Step 3: Cross multiply
    124,138.83x = 267,956.86 × 267,956.86
  4. Step 4: Simplify right side
    124,138.83x = 71,800,878,486.11
  5. Step 5: Solve for x
    x = 71,800,878,486.11/124,138.83
  6. Step 6: Final answer
    x = 578,391.79

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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.