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Finding the Third Proportional to 73,413 and 140,991.75

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Solution

The third proportional to 73,413 and 140,991.75 is: 270,778.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,413 : 140,991.75 = 140,991.75 : x
  2. Step 2: Convert to fraction form
    73,413/140,991.75 = 140,991.75/x
  3. Step 3: Cross multiply
    73,413x = 140,991.75 × 140,991.75
  4. Step 4: Simplify right side
    73,413x = 19,878,673,568.06
  5. Step 5: Solve for x
    x = 19,878,673,568.06/73,413
  6. Step 6: Final answer
    x = 270,778.66

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.