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Finding the Third Proportional to 125,658 and 188,757

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Solution

The third proportional to 125,658 and 188,757 is: 283,541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,658 : 188,757 = 188,757 : x
  2. Step 2: Convert to fraction form
    125,658/188,757 = 188,757/x
  3. Step 3: Cross multiply
    125,658x = 188,757 × 188,757
  4. Step 4: Simplify right side
    125,658x = 35,629,205,049
  5. Step 5: Solve for x
    x = 35,629,205,049/125,658
  6. Step 6: Final answer
    x = 283,541.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.