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Finding the Third Proportional to 91,408.50 and 138,084.75

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Solution

The third proportional to 91,408.50 and 138,084.75 is: 208,595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,408.50 : 138,084.75 = 138,084.75 : x
  2. Step 2: Convert to fraction form
    91,408.50/138,084.75 = 138,084.75/x
  3. Step 3: Cross multiply
    91,408.50x = 138,084.75 × 138,084.75
  4. Step 4: Simplify right side
    91,408.50x = 19,067,398,182.56
  5. Step 5: Solve for x
    x = 19,067,398,182.56/91,408.50
  6. Step 6: Final answer
    x = 208,595.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.