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Finding the Third Proportional to 125,943 and 191,921

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Solution

The third proportional to 125,943 and 191,921 is: 292,463.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,943 : 191,921 = 191,921 : x
  2. Step 2: Convert to fraction form
    125,943/191,921 = 191,921/x
  3. Step 3: Cross multiply
    125,943x = 191,921 × 191,921
  4. Step 4: Simplify right side
    125,943x = 36,833,670,241
  5. Step 5: Solve for x
    x = 36,833,670,241/125,943
  6. Step 6: Final answer
    x = 292,463.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.