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Finding the Third Proportional to 108,486 and 164,259

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Solution

The third proportional to 108,486 and 164,259 is: 248,705.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,486 : 164,259 = 164,259 : x
  2. Step 2: Convert to fraction form
    108,486/164,259 = 164,259/x
  3. Step 3: Cross multiply
    108,486x = 164,259 × 164,259
  4. Step 4: Simplify right side
    108,486x = 26,981,019,081
  5. Step 5: Solve for x
    x = 26,981,019,081/108,486
  6. Step 6: Final answer
    x = 248,705.08

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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.