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Finding the Third Proportional to 125,874 and 273,078

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Solution

The third proportional to 125,874 and 273,078 is: 592,430.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,874 : 273,078 = 273,078 : x
  2. Step 2: Convert to fraction form
    125,874/273,078 = 273,078/x
  3. Step 3: Cross multiply
    125,874x = 273,078 × 273,078
  4. Step 4: Simplify right side
    125,874x = 74,571,594,084
  5. Step 5: Solve for x
    x = 74,571,594,084/125,874
  6. Step 6: Final answer
    x = 592,430.48

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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.