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Finding the Third Proportional to 125,612 and 273,040

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Solution

The third proportional to 125,612 and 273,040 is: 593,500.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,612 : 273,040 = 273,040 : x
  2. Step 2: Convert to fraction form
    125,612/273,040 = 273,040/x
  3. Step 3: Cross multiply
    125,612x = 273,040 × 273,040
  4. Step 4: Simplify right side
    125,612x = 74,550,841,600
  5. Step 5: Solve for x
    x = 74,550,841,600/125,612
  6. Step 6: Final answer
    x = 593,500.95

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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.