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Finding the Third Proportional to 34,400 and 75,361

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Solution

The third proportional to 34,400 and 75,361 is: 165,095.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,400 : 75,361 = 75,361 : x
  2. Step 2: Convert to fraction form
    34,400/75,361 = 75,361/x
  3. Step 3: Cross multiply
    34,400x = 75,361 × 75,361
  4. Step 4: Simplify right side
    34,400x = 5,679,280,321
  5. Step 5: Solve for x
    x = 5,679,280,321/34,400
  6. Step 6: Final answer
    x = 165,095.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.