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Finding the Third Proportional to 61,139.50 and 91,144.75

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Solution

The third proportional to 61,139.50 and 91,144.75 is: 135,875.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,139.50 : 91,144.75 = 91,144.75 : x
  2. Step 2: Convert to fraction form
    61,139.50/91,144.75 = 91,144.75/x
  3. Step 3: Cross multiply
    61,139.50x = 91,144.75 × 91,144.75
  4. Step 4: Simplify right side
    61,139.50x = 8,307,365,452.56
  5. Step 5: Solve for x
    x = 8,307,365,452.56/61,139.50
  6. Step 6: Final answer
    x = 135,875.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.