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Finding the Third Proportional to 85,899.50 and 128,452.50

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Solution

The third proportional to 85,899.50 and 128,452.50 is: 192,085.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,899.50 : 128,452.50 = 128,452.50 : x
  2. Step 2: Convert to fraction form
    85,899.50/128,452.50 = 128,452.50/x
  3. Step 3: Cross multiply
    85,899.50x = 128,452.50 × 128,452.50
  4. Step 4: Simplify right side
    85,899.50x = 16,500,044,756.25
  5. Step 5: Solve for x
    x = 16,500,044,756.25/85,899.50
  6. Step 6: Final answer
    x = 192,085.46

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