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Finding the Third Proportional to 52,308.50 and 67,163

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Solution

The third proportional to 52,308.50 and 67,163 is: 86,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,308.50 : 67,163 = 67,163 : x
  2. Step 2: Convert to fraction form
    52,308.50/67,163 = 67,163/x
  3. Step 3: Cross multiply
    52,308.50x = 67,163 × 67,163
  4. Step 4: Simplify right side
    52,308.50x = 4,510,868,569
  5. Step 5: Solve for x
    x = 4,510,868,569/52,308.50
  6. Step 6: Final answer
    x = 86,235.86

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.