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Finding the Third Proportional to 67,682.25 and 99,214.88

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Solution

The third proportional to 67,682.25 and 99,214.88 is: 145,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,682.25 : 99,214.88 = 99,214.88 : x
  2. Step 2: Convert to fraction form
    67,682.25/99,214.88 = 99,214.88/x
  3. Step 3: Cross multiply
    67,682.25x = 99,214.88 × 99,214.88
  4. Step 4: Simplify right side
    67,682.25x = 9,843,591,421.27
  5. Step 5: Solve for x
    x = 9,843,591,421.27/67,682.25
  6. Step 6: Final answer
    x = 145,438.30

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.