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Finding the Third Proportional to 124,514 and 186,899

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Solution

The third proportional to 124,514 and 186,899 is: 280,540.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,514 : 186,899 = 186,899 : x
  2. Step 2: Convert to fraction form
    124,514/186,899 = 186,899/x
  3. Step 3: Cross multiply
    124,514x = 186,899 × 186,899
  4. Step 4: Simplify right side
    124,514x = 34,931,236,201
  5. Step 5: Solve for x
    x = 34,931,236,201/124,514
  6. Step 6: Final answer
    x = 280,540.63

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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.