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Finding the Third Proportional to 110,501 and 169,950

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Solution

The third proportional to 110,501 and 169,950 is: 261,382.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,501 : 169,950 = 169,950 : x
  2. Step 2: Convert to fraction form
    110,501/169,950 = 169,950/x
  3. Step 3: Cross multiply
    110,501x = 169,950 × 169,950
  4. Step 4: Simplify right side
    110,501x = 28,883,002,500
  5. Step 5: Solve for x
    x = 28,883,002,500/110,501
  6. Step 6: Final answer
    x = 261,382.27

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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.