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Finding the Third Proportional to 56,752 and 123,467

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Solution

The third proportional to 56,752 and 123,467 is: 268,609.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,752 : 123,467 = 123,467 : x
  2. Step 2: Convert to fraction form
    56,752/123,467 = 123,467/x
  3. Step 3: Cross multiply
    56,752x = 123,467 × 123,467
  4. Step 4: Simplify right side
    56,752x = 15,244,100,089
  5. Step 5: Solve for x
    x = 15,244,100,089/56,752
  6. Step 6: Final answer
    x = 268,609.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.