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Finding the Third Proportional to 110,266 and 164,584

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Solution

The third proportional to 110,266 and 164,584 is: 245,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,266 : 164,584 = 164,584 : x
  2. Step 2: Convert to fraction form
    110,266/164,584 = 164,584/x
  3. Step 3: Cross multiply
    110,266x = 164,584 × 164,584
  4. Step 4: Simplify right side
    110,266x = 27,087,893,056
  5. Step 5: Solve for x
    x = 27,087,893,056/110,266
  6. Step 6: Final answer
    x = 245,659.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.