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Finding the Third Proportional to 116,974.13 and 162,979.88

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Solution

The third proportional to 116,974.13 and 162,979.88 is: 227,079.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,974.13 : 162,979.88 = 162,979.88 : x
  2. Step 2: Convert to fraction form
    116,974.13/162,979.88 = 162,979.88/x
  3. Step 3: Cross multiply
    116,974.13x = 162,979.88 × 162,979.88
  4. Step 4: Simplify right side
    116,974.13x = 26,562,439,655.02
  5. Step 5: Solve for x
    x = 26,562,439,655.02/116,974.13
  6. Step 6: Final answer
    x = 227,079.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.