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Finding the Third Proportional to 110,502 and 169,948

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Solution

The third proportional to 110,502 and 169,948 is: 261,373.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,502 : 169,948 = 169,948 : x
  2. Step 2: Convert to fraction form
    110,502/169,948 = 169,948/x
  3. Step 3: Cross multiply
    110,502x = 169,948 × 169,948
  4. Step 4: Simplify right side
    110,502x = 28,882,322,704
  5. Step 5: Solve for x
    x = 28,882,322,704/110,502
  6. Step 6: Final answer
    x = 261,373.76

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Why These Related Problems?

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