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Finding the Third Proportional to 67,020.38 and 103,679.63

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Solution

The third proportional to 67,020.38 and 103,679.63 is: 160,391.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,020.38 : 103,679.63 = 103,679.63 : x
  2. Step 2: Convert to fraction form
    67,020.38/103,679.63 = 103,679.63/x
  3. Step 3: Cross multiply
    67,020.38x = 103,679.63 × 103,679.63
  4. Step 4: Simplify right side
    67,020.38x = 10,749,464,640.14
  5. Step 5: Solve for x
    x = 10,749,464,640.14/67,020.38
  6. Step 6: Final answer
    x = 160,391.00

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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.