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Finding the Third Proportional to 104,824 and 161,314

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Solution

The third proportional to 104,824 and 161,314 is: 248,246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,824 : 161,314 = 161,314 : x
  2. Step 2: Convert to fraction form
    104,824/161,314 = 161,314/x
  3. Step 3: Cross multiply
    104,824x = 161,314 × 161,314
  4. Step 4: Simplify right side
    104,824x = 26,022,206,596
  5. Step 5: Solve for x
    x = 26,022,206,596/104,824
  6. Step 6: Final answer
    x = 248,246.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.