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Finding the Third Proportional to 125,648.88 and 194,308.38

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Solution

The third proportional to 125,648.88 and 194,308.38 is: 300,486.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,648.88 : 194,308.38 = 194,308.38 : x
  2. Step 2: Convert to fraction form
    125,648.88/194,308.38 = 194,308.38/x
  3. Step 3: Cross multiply
    125,648.88x = 194,308.38 × 194,308.38
  4. Step 4: Simplify right side
    125,648.88x = 37,755,744,595.14
  5. Step 5: Solve for x
    x = 37,755,744,595.14/125,648.88
  6. Step 6: Final answer
    x = 300,486.13

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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.