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Finding the Third Proportional to 104,228 and 161,446

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Solution

The third proportional to 104,228 and 161,446 is: 250,074.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,228 : 161,446 = 161,446 : x
  2. Step 2: Convert to fraction form
    104,228/161,446 = 161,446/x
  3. Step 3: Cross multiply
    104,228x = 161,446 × 161,446
  4. Step 4: Simplify right side
    104,228x = 26,064,810,916
  5. Step 5: Solve for x
    x = 26,064,810,916/104,228
  6. Step 6: Final answer
    x = 250,074.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.