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Finding the Third Proportional to 123,423.75 and 186,867

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Solution

The third proportional to 123,423.75 and 186,867 is: 282,921.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,423.75 : 186,867 = 186,867 : x
  2. Step 2: Convert to fraction form
    123,423.75/186,867 = 186,867/x
  3. Step 3: Cross multiply
    123,423.75x = 186,867 × 186,867
  4. Step 4: Simplify right side
    123,423.75x = 34,919,275,689
  5. Step 5: Solve for x
    x = 34,919,275,689/123,423.75
  6. Step 6: Final answer
    x = 282,921.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.