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Finding the Third Proportional to 138,601.13 and 181,247.63

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Solution

The third proportional to 138,601.13 and 181,247.63 is: 237,016.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,601.13 : 181,247.63 = 181,247.63 : x
  2. Step 2: Convert to fraction form
    138,601.13/181,247.63 = 181,247.63/x
  3. Step 3: Cross multiply
    138,601.13x = 181,247.63 × 181,247.63
  4. Step 4: Simplify right side
    138,601.13x = 32,850,701,568.14
  5. Step 5: Solve for x
    x = 32,850,701,568.14/138,601.13
  6. Step 6: Final answer
    x = 237,016.13

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.