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Finding the Third Proportional to 125,304 and 191,925

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Solution

The third proportional to 125,304 and 191,925 is: 293,966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,304 : 191,925 = 191,925 : x
  2. Step 2: Convert to fraction form
    125,304/191,925 = 191,925/x
  3. Step 3: Cross multiply
    125,304x = 191,925 × 191,925
  4. Step 4: Simplify right side
    125,304x = 36,835,205,625
  5. Step 5: Solve for x
    x = 36,835,205,625/125,304
  6. Step 6: Final answer
    x = 293,966.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.