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Finding the Third Proportional to 34,540 and 71,537

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Solution

The third proportional to 34,540 and 71,537 is: 148,162.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,540 : 71,537 = 71,537 : x
  2. Step 2: Convert to fraction form
    34,540/71,537 = 71,537/x
  3. Step 3: Cross multiply
    34,540x = 71,537 × 71,537
  4. Step 4: Simplify right side
    34,540x = 5,117,542,369
  5. Step 5: Solve for x
    x = 5,117,542,369/34,540
  6. Step 6: Final answer
    x = 148,162.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.