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Finding the Third Proportional to 125,650.13 and 194,307.75

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Solution

The third proportional to 125,650.13 and 194,307.75 is: 300,481.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,650.13 : 194,307.75 = 194,307.75 : x
  2. Step 2: Convert to fraction form
    125,650.13/194,307.75 = 194,307.75/x
  3. Step 3: Cross multiply
    125,650.13x = 194,307.75 × 194,307.75
  4. Step 4: Simplify right side
    125,650.13x = 37,755,501,710.06
  5. Step 5: Solve for x
    x = 37,755,501,710.06/125,650.13
  6. Step 6: Final answer
    x = 300,481.21

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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.