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Finding the Third Proportional to 114,874 and 173,403

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Solution

The third proportional to 114,874 and 173,403 is: 261,752.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,874 : 173,403 = 173,403 : x
  2. Step 2: Convert to fraction form
    114,874/173,403 = 173,403/x
  3. Step 3: Cross multiply
    114,874x = 173,403 × 173,403
  4. Step 4: Simplify right side
    114,874x = 30,068,600,409
  5. Step 5: Solve for x
    x = 30,068,600,409/114,874
  6. Step 6: Final answer
    x = 261,752.88

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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.