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Finding the Third Proportional to 109,241 and 164,863

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Solution

The third proportional to 109,241 and 164,863 is: 248,805.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,241 : 164,863 = 164,863 : x
  2. Step 2: Convert to fraction form
    109,241/164,863 = 164,863/x
  3. Step 3: Cross multiply
    109,241x = 164,863 × 164,863
  4. Step 4: Simplify right side
    109,241x = 27,179,808,769
  5. Step 5: Solve for x
    x = 27,179,808,769/109,241
  6. Step 6: Final answer
    x = 248,805.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.