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Finding the Third Proportional to 65,197.69 and 93,057.75

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Solution

The third proportional to 65,197.69 and 93,057.75 is: 132,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,197.69 : 93,057.75 = 93,057.75 : x
  2. Step 2: Convert to fraction form
    65,197.69/93,057.75 = 93,057.75/x
  3. Step 3: Cross multiply
    65,197.69x = 93,057.75 × 93,057.75
  4. Step 4: Simplify right side
    65,197.69x = 8,659,744,835.06
  5. Step 5: Solve for x
    x = 8,659,744,835.06/65,197.69
  6. Step 6: Final answer
    x = 132,822.88

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.