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Finding the Third Proportional to 68,394 and 104,981

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Solution

The third proportional to 68,394 and 104,981 is: 161,140.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,394 : 104,981 = 104,981 : x
  2. Step 2: Convert to fraction form
    68,394/104,981 = 104,981/x
  3. Step 3: Cross multiply
    68,394x = 104,981 × 104,981
  4. Step 4: Simplify right side
    68,394x = 11,021,010,361
  5. Step 5: Solve for x
    x = 11,021,010,361/68,394
  6. Step 6: Final answer
    x = 161,140.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.