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Finding the Third Proportional to 107,982 and 161,993.25

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Solution

The third proportional to 107,982 and 161,993.25 is: 243,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,982 : 161,993.25 = 161,993.25 : x
  2. Step 2: Convert to fraction form
    107,982/161,993.25 = 161,993.25/x
  3. Step 3: Cross multiply
    107,982x = 161,993.25 × 161,993.25
  4. Step 4: Simplify right side
    107,982x = 26,241,813,045.56
  5. Step 5: Solve for x
    x = 26,241,813,045.56/107,982
  6. Step 6: Final answer
    x = 243,020.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.