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Finding the Third Proportional to 115,462.13 and 183,864.38

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Solution

The third proportional to 115,462.13 and 183,864.38 is: 292,789.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,462.13 : 183,864.38 = 183,864.38 : x
  2. Step 2: Convert to fraction form
    115,462.13/183,864.38 = 183,864.38/x
  3. Step 3: Cross multiply
    115,462.13x = 183,864.38 × 183,864.38
  4. Step 4: Simplify right side
    115,462.13x = 33,806,108,394.14
  5. Step 5: Solve for x
    x = 33,806,108,394.14/115,462.13
  6. Step 6: Final answer
    x = 292,789.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.