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Finding the Third Proportional to 125,351 and 188,625

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Solution

The third proportional to 125,351 and 188,625 is: 283,838.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,351 : 188,625 = 188,625 : x
  2. Step 2: Convert to fraction form
    125,351/188,625 = 188,625/x
  3. Step 3: Cross multiply
    125,351x = 188,625 × 188,625
  4. Step 4: Simplify right side
    125,351x = 35,579,390,625
  5. Step 5: Solve for x
    x = 35,579,390,625/125,351
  6. Step 6: Final answer
    x = 283,838.11

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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.