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Finding the Third Proportional to 110,209 and 164,886

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Solution

The third proportional to 110,209 and 164,886 is: 246,689.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,209 : 164,886 = 164,886 : x
  2. Step 2: Convert to fraction form
    110,209/164,886 = 164,886/x
  3. Step 3: Cross multiply
    110,209x = 164,886 × 164,886
  4. Step 4: Simplify right side
    110,209x = 27,187,392,996
  5. Step 5: Solve for x
    x = 27,187,392,996/110,209
  6. Step 6: Final answer
    x = 246,689.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.