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Finding the Third Proportional to 65,515.50 and 98,815.50

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Solution

The third proportional to 65,515.50 and 98,815.50 is: 149,041.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,515.50 : 98,815.50 = 98,815.50 : x
  2. Step 2: Convert to fraction form
    65,515.50/98,815.50 = 98,815.50/x
  3. Step 3: Cross multiply
    65,515.50x = 98,815.50 × 98,815.50
  4. Step 4: Simplify right side
    65,515.50x = 9,764,503,040.25
  5. Step 5: Solve for x
    x = 9,764,503,040.25/65,515.50
  6. Step 6: Final answer
    x = 149,041.11

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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.