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Finding the Third Proportional to 34,544 and 71,545

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Solution

The third proportional to 34,544 and 71,545 is: 148,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,544 : 71,545 = 71,545 : x
  2. Step 2: Convert to fraction form
    34,544/71,545 = 71,545/x
  3. Step 3: Cross multiply
    34,544x = 71,545 × 71,545
  4. Step 4: Simplify right side
    34,544x = 5,118,687,025
  5. Step 5: Solve for x
    x = 5,118,687,025/34,544
  6. Step 6: Final answer
    x = 148,178.76

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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.