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Finding the Third Proportional to 125,868 and 175,983

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Solution

The third proportional to 125,868 and 175,983 is: 246,051.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,868 : 175,983 = 175,983 : x
  2. Step 2: Convert to fraction form
    125,868/175,983 = 175,983/x
  3. Step 3: Cross multiply
    125,868x = 175,983 × 175,983
  4. Step 4: Simplify right side
    125,868x = 30,970,016,289
  5. Step 5: Solve for x
    x = 30,970,016,289/125,868
  6. Step 6: Final answer
    x = 246,051.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.