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Finding the Third Proportional to 61,624 and 131,024

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Solution

The third proportional to 61,624 and 131,024 is: 278,581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,624 : 131,024 = 131,024 : x
  2. Step 2: Convert to fraction form
    61,624/131,024 = 131,024/x
  3. Step 3: Cross multiply
    61,624x = 131,024 × 131,024
  4. Step 4: Simplify right side
    61,624x = 17,167,288,576
  5. Step 5: Solve for x
    x = 17,167,288,576/61,624
  6. Step 6: Final answer
    x = 278,581.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.