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Finding the Third Proportional to 67,502 and 103,899

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Solution

The third proportional to 67,502 and 103,899 is: 159,921.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,502 : 103,899 = 103,899 : x
  2. Step 2: Convert to fraction form
    67,502/103,899 = 103,899/x
  3. Step 3: Cross multiply
    67,502x = 103,899 × 103,899
  4. Step 4: Simplify right side
    67,502x = 10,795,002,201
  5. Step 5: Solve for x
    x = 10,795,002,201/67,502
  6. Step 6: Final answer
    x = 159,921.22

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.