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Finding the Third Proportional to 110,974 and 169,226

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Solution

The third proportional to 110,974 and 169,226 is: 258,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,974 : 169,226 = 169,226 : x
  2. Step 2: Convert to fraction form
    110,974/169,226 = 169,226/x
  3. Step 3: Cross multiply
    110,974x = 169,226 × 169,226
  4. Step 4: Simplify right side
    110,974x = 28,637,439,076
  5. Step 5: Solve for x
    x = 28,637,439,076/110,974
  6. Step 6: Final answer
    x = 258,055.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.