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Finding the Third Proportional to 125,732 and 273,928

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Solution

The third proportional to 125,732 and 273,928 is: 596,797.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,732 : 273,928 = 273,928 : x
  2. Step 2: Convert to fraction form
    125,732/273,928 = 273,928/x
  3. Step 3: Cross multiply
    125,732x = 273,928 × 273,928
  4. Step 4: Simplify right side
    125,732x = 75,036,549,184
  5. Step 5: Solve for x
    x = 75,036,549,184/125,732
  6. Step 6: Final answer
    x = 596,797.55

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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.