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Finding the Third Proportional to 116,718 and 169,974

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Solution

The third proportional to 116,718 and 169,974 is: 247,529.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,718 : 169,974 = 169,974 : x
  2. Step 2: Convert to fraction form
    116,718/169,974 = 169,974/x
  3. Step 3: Cross multiply
    116,718x = 169,974 × 169,974
  4. Step 4: Simplify right side
    116,718x = 28,891,160,676
  5. Step 5: Solve for x
    x = 28,891,160,676/116,718
  6. Step 6: Final answer
    x = 247,529.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.