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Finding the Third Proportional to 109,231.13 and 165,538.13

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Solution

The third proportional to 109,231.13 and 165,538.13 is: 250,870.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,231.13 : 165,538.13 = 165,538.13 : x
  2. Step 2: Convert to fraction form
    109,231.13/165,538.13 = 165,538.13/x
  3. Step 3: Cross multiply
    109,231.13x = 165,538.13 × 165,538.13
  4. Step 4: Simplify right side
    109,231.13x = 27,402,870,828.52
  5. Step 5: Solve for x
    x = 27,402,870,828.52/109,231.13
  6. Step 6: Final answer
    x = 250,870.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.