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Finding the Third Proportional to 34,537 and 75,661

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Solution

The third proportional to 34,537 and 75,661 is: 165,752.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,537 : 75,661 = 75,661 : x
  2. Step 2: Convert to fraction form
    34,537/75,661 = 75,661/x
  3. Step 3: Cross multiply
    34,537x = 75,661 × 75,661
  4. Step 4: Simplify right side
    34,537x = 5,724,586,921
  5. Step 5: Solve for x
    x = 5,724,586,921/34,537
  6. Step 6: Final answer
    x = 165,752.29

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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.