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Finding the Third Proportional to 57,682.13 and 96,000.19

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Solution

The third proportional to 57,682.13 and 96,000.19 is: 159,772.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,682.13 : 96,000.19 = 96,000.19 : x
  2. Step 2: Convert to fraction form
    57,682.13/96,000.19 = 96,000.19/x
  3. Step 3: Cross multiply
    57,682.13x = 96,000.19 × 96,000.19
  4. Step 4: Simplify right side
    57,682.13x = 9,216,036,000.04
  5. Step 5: Solve for x
    x = 9,216,036,000.04/57,682.13
  6. Step 6: Final answer
    x = 159,772.82

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.