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Finding the Third Proportional to 63,686.25 and 138,444.19

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Solution

The third proportional to 63,686.25 and 138,444.19 is: 300,956.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,686.25 : 138,444.19 = 138,444.19 : x
  2. Step 2: Convert to fraction form
    63,686.25/138,444.19 = 138,444.19/x
  3. Step 3: Cross multiply
    63,686.25x = 138,444.19 × 138,444.19
  4. Step 4: Simplify right side
    63,686.25x = 19,166,793,052.54
  5. Step 5: Solve for x
    x = 19,166,793,052.54/63,686.25
  6. Step 6: Final answer
    x = 300,956.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.