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Finding the Third Proportional to 124,540 and 186,961

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Solution

The third proportional to 124,540 and 186,961 is: 280,668.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,540 : 186,961 = 186,961 : x
  2. Step 2: Convert to fraction form
    124,540/186,961 = 186,961/x
  3. Step 3: Cross multiply
    124,540x = 186,961 × 186,961
  4. Step 4: Simplify right side
    124,540x = 34,954,415,521
  5. Step 5: Solve for x
    x = 34,954,415,521/124,540
  6. Step 6: Final answer
    x = 280,668.18

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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.