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Finding the Third Proportional to 113,585.91 and 176,371.17

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Solution

The third proportional to 113,585.91 and 176,371.17 is: 273,861.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,585.91 : 176,371.17 = 176,371.17 : x
  2. Step 2: Convert to fraction form
    113,585.91/176,371.17 = 176,371.17/x
  3. Step 3: Cross multiply
    113,585.91x = 176,371.17 × 176,371.17
  4. Step 4: Simplify right side
    113,585.91x = 31,106,790,268.56
  5. Step 5: Solve for x
    x = 31,106,790,268.56/113,585.91
  6. Step 6: Final answer
    x = 273,861.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.