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Finding the Third Proportional to 138,439.13 and 181,779.19

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Solution

The third proportional to 138,439.13 and 181,779.19 is: 238,687.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,439.13 : 181,779.19 = 181,779.19 : x
  2. Step 2: Convert to fraction form
    138,439.13/181,779.19 = 181,779.19/x
  3. Step 3: Cross multiply
    138,439.13x = 181,779.19 × 181,779.19
  4. Step 4: Simplify right side
    138,439.13x = 33,043,673,008.16
  5. Step 5: Solve for x
    x = 33,043,673,008.16/138,439.13
  6. Step 6: Final answer
    x = 238,687.39

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