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Finding the Third Proportional to 125,391 and 194,374

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Solution

The third proportional to 125,391 and 194,374 is: 301,307.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,391 : 194,374 = 194,374 : x
  2. Step 2: Convert to fraction form
    125,391/194,374 = 194,374/x
  3. Step 3: Cross multiply
    125,391x = 194,374 × 194,374
  4. Step 4: Simplify right side
    125,391x = 37,781,251,876
  5. Step 5: Solve for x
    x = 37,781,251,876/125,391
  6. Step 6: Final answer
    x = 301,307.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.