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Finding the Third Proportional to 65,882.25 and 128,452.50

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Solution

The third proportional to 65,882.25 and 128,452.50 is: 250,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,882.25 : 128,452.50 = 128,452.50 : x
  2. Step 2: Convert to fraction form
    65,882.25/128,452.50 = 128,452.50/x
  3. Step 3: Cross multiply
    65,882.25x = 128,452.50 × 128,452.50
  4. Step 4: Simplify right side
    65,882.25x = 16,500,044,756.25
  5. Step 5: Solve for x
    x = 16,500,044,756.25/65,882.25
  6. Step 6: Final answer
    x = 250,447.50

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.