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Finding the Third Proportional to 125,771 and 190,277

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Solution

The third proportional to 125,771 and 190,277 is: 287,867.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,771 : 190,277 = 190,277 : x
  2. Step 2: Convert to fraction form
    125,771/190,277 = 190,277/x
  3. Step 3: Cross multiply
    125,771x = 190,277 × 190,277
  4. Step 4: Simplify right side
    125,771x = 36,205,336,729
  5. Step 5: Solve for x
    x = 36,205,336,729/125,771
  6. Step 6: Final answer
    x = 287,867.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.