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Finding the Third Proportional to 34,243 and 54,334

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Solution

The third proportional to 34,243 and 54,334 is: 86,212.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,243 : 54,334 = 54,334 : x
  2. Step 2: Convert to fraction form
    34,243/54,334 = 54,334/x
  3. Step 3: Cross multiply
    34,243x = 54,334 × 54,334
  4. Step 4: Simplify right side
    34,243x = 2,952,183,556
  5. Step 5: Solve for x
    x = 2,952,183,556/34,243
  6. Step 6: Final answer
    x = 86,212.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.