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Finding the Third Proportional to 51,132.52 and 108,974.11

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Solution

The third proportional to 51,132.52 and 108,974.11 is: 232,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,132.52 : 108,974.11 = 108,974.11 : x
  2. Step 2: Convert to fraction form
    51,132.52/108,974.11 = 108,974.11/x
  3. Step 3: Cross multiply
    51,132.52x = 108,974.11 × 108,974.11
  4. Step 4: Simplify right side
    51,132.52x = 11,875,356,514.07
  5. Step 5: Solve for x
    x = 11,875,356,514.07/51,132.52
  6. Step 6: Final answer
    x = 232,246.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.