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Finding the Third Proportional to 67,683.38 and 105,217.88

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Solution

The third proportional to 67,683.38 and 105,217.88 is: 163,567.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,683.38 : 105,217.88 = 105,217.88 : x
  2. Step 2: Convert to fraction form
    67,683.38/105,217.88 = 105,217.88/x
  3. Step 3: Cross multiply
    67,683.38x = 105,217.88 × 105,217.88
  4. Step 4: Simplify right side
    67,683.38x = 11,070,801,219.52
  5. Step 5: Solve for x
    x = 11,070,801,219.52/67,683.38
  6. Step 6: Final answer
    x = 163,567.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.