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Finding the Third Proportional to 65,800.50 and 96,034.50

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Solution

The third proportional to 65,800.50 and 96,034.50 is: 140,160.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,800.50 : 96,034.50 = 96,034.50 : x
  2. Step 2: Convert to fraction form
    65,800.50/96,034.50 = 96,034.50/x
  3. Step 3: Cross multiply
    65,800.50x = 96,034.50 × 96,034.50
  4. Step 4: Simplify right side
    65,800.50x = 9,222,625,190.25
  5. Step 5: Solve for x
    x = 9,222,625,190.25/65,800.50
  6. Step 6: Final answer
    x = 140,160.41

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.