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Finding the Third Proportional to 125,704 and 273,560

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Solution

The third proportional to 125,704 and 273,560 is: 595,327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,704 : 273,560 = 273,560 : x
  2. Step 2: Convert to fraction form
    125,704/273,560 = 273,560/x
  3. Step 3: Cross multiply
    125,704x = 273,560 × 273,560
  4. Step 4: Simplify right side
    125,704x = 74,835,073,600
  5. Step 5: Solve for x
    x = 74,835,073,600/125,704
  6. Step 6: Final answer
    x = 595,327.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.