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Finding the Third Proportional to 67,817.25 and 103,305.38

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Solution

The third proportional to 67,817.25 and 103,305.38 is: 157,364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,817.25 : 103,305.38 = 103,305.38 : x
  2. Step 2: Convert to fraction form
    67,817.25/103,305.38 = 103,305.38/x
  3. Step 3: Cross multiply
    67,817.25x = 103,305.38 × 103,305.38
  4. Step 4: Simplify right side
    67,817.25x = 10,672,000,503.89
  5. Step 5: Solve for x
    x = 10,672,000,503.89/67,817.25
  6. Step 6: Final answer
    x = 157,364.10

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.