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Finding the Third Proportional to 138,441 and 181,785

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Solution

The third proportional to 138,441 and 181,785 is: 238,699.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,441 : 181,785 = 181,785 : x
  2. Step 2: Convert to fraction form
    138,441/181,785 = 181,785/x
  3. Step 3: Cross multiply
    138,441x = 181,785 × 181,785
  4. Step 4: Simplify right side
    138,441x = 33,045,786,225
  5. Step 5: Solve for x
    x = 33,045,786,225/138,441
  6. Step 6: Final answer
    x = 238,699.42

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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.