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Finding the Third Proportional to 104,898 and 161,329

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Solution

The third proportional to 104,898 and 161,329 is: 248,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,898 : 161,329 = 161,329 : x
  2. Step 2: Convert to fraction form
    104,898/161,329 = 161,329/x
  3. Step 3: Cross multiply
    104,898x = 161,329 × 161,329
  4. Step 4: Simplify right side
    104,898x = 26,027,046,241
  5. Step 5: Solve for x
    x = 26,027,046,241/104,898
  6. Step 6: Final answer
    x = 248,117.66

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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.