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Finding the Third Proportional to 51,952 and 113,624

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Solution

The third proportional to 51,952 and 113,624 is: 248,506.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,952 : 113,624 = 113,624 : x
  2. Step 2: Convert to fraction form
    51,952/113,624 = 113,624/x
  3. Step 3: Cross multiply
    51,952x = 113,624 × 113,624
  4. Step 4: Simplify right side
    51,952x = 12,910,413,376
  5. Step 5: Solve for x
    x = 12,910,413,376/51,952
  6. Step 6: Final answer
    x = 248,506.57

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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.