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Finding the Third Proportional to 125,514 and 188,550

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Solution

The third proportional to 125,514 and 188,550 is: 283,244.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,514 : 188,550 = 188,550 : x
  2. Step 2: Convert to fraction form
    125,514/188,550 = 188,550/x
  3. Step 3: Cross multiply
    125,514x = 188,550 × 188,550
  4. Step 4: Simplify right side
    125,514x = 35,551,102,500
  5. Step 5: Solve for x
    x = 35,551,102,500/125,514
  6. Step 6: Final answer
    x = 283,244.12

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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.