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Finding the Third Proportional to 125,961.75 and 195,028.13

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Solution

The third proportional to 125,961.75 and 195,028.13 is: 301,964.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,961.75 : 195,028.13 = 195,028.13 : x
  2. Step 2: Convert to fraction form
    125,961.75/195,028.13 = 195,028.13/x
  3. Step 3: Cross multiply
    125,961.75x = 195,028.13 × 195,028.13
  4. Step 4: Simplify right side
    125,961.75x = 38,035,969,541.02
  5. Step 5: Solve for x
    x = 38,035,969,541.02/125,961.75
  6. Step 6: Final answer
    x = 301,964.44

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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.