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Finding the Third Proportional to 61,694 and 134,556

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Solution

The third proportional to 61,694 and 134,556 is: 293,469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,694 : 134,556 = 134,556 : x
  2. Step 2: Convert to fraction form
    61,694/134,556 = 134,556/x
  3. Step 3: Cross multiply
    61,694x = 134,556 × 134,556
  4. Step 4: Simplify right side
    61,694x = 18,105,317,136
  5. Step 5: Solve for x
    x = 18,105,317,136/61,694
  6. Step 6: Final answer
    x = 293,469.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.