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Finding the Third Proportional to 91,083.38 and 127,369.13

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Solution

The third proportional to 91,083.38 and 127,369.13 is: 178,110.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,083.38 : 127,369.13 = 127,369.13 : x
  2. Step 2: Convert to fraction form
    91,083.38/127,369.13 = 127,369.13/x
  3. Step 3: Cross multiply
    91,083.38x = 127,369.13 × 127,369.13
  4. Step 4: Simplify right side
    91,083.38x = 16,222,894,003.27
  5. Step 5: Solve for x
    x = 16,222,894,003.27/91,083.38
  6. Step 6: Final answer
    x = 178,110.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.