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Finding the Third Proportional to 72,444.38 and 140,241.38

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Solution

The third proportional to 72,444.38 and 140,241.38 is: 271,486.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,444.38 : 140,241.38 = 140,241.38 : x
  2. Step 2: Convert to fraction form
    72,444.38/140,241.38 = 140,241.38/x
  3. Step 3: Cross multiply
    72,444.38x = 140,241.38 × 140,241.38
  4. Step 4: Simplify right side
    72,444.38x = 19,667,643,261.89
  5. Step 5: Solve for x
    x = 19,667,643,261.89/72,444.38
  6. Step 6: Final answer
    x = 271,486.13

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.