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Finding the Third Proportional to 34,542 and 75,564

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Solution

The third proportional to 34,542 and 75,564 is: 165,303.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,542 : 75,564 = 75,564 : x
  2. Step 2: Convert to fraction form
    34,542/75,564 = 75,564/x
  3. Step 3: Cross multiply
    34,542x = 75,564 × 75,564
  4. Step 4: Simplify right side
    34,542x = 5,709,918,096
  5. Step 5: Solve for x
    x = 5,709,918,096/34,542
  6. Step 6: Final answer
    x = 165,303.63

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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.