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Finding the Third Proportional to 67,571 and 105,998

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Solution

The third proportional to 67,571 and 105,998 is: 166,278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,571 : 105,998 = 105,998 : x
  2. Step 2: Convert to fraction form
    67,571/105,998 = 105,998/x
  3. Step 3: Cross multiply
    67,571x = 105,998 × 105,998
  4. Step 4: Simplify right side
    67,571x = 11,235,576,004
  5. Step 5: Solve for x
    x = 11,235,576,004/67,571
  6. Step 6: Final answer
    x = 166,278.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.