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Finding the Third Proportional to 51,761 and 76,001

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Solution

The third proportional to 51,761 and 76,001 is: 111,592.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,761 : 76,001 = 76,001 : x
  2. Step 2: Convert to fraction form
    51,761/76,001 = 76,001/x
  3. Step 3: Cross multiply
    51,761x = 76,001 × 76,001
  4. Step 4: Simplify right side
    51,761x = 5,776,152,001
  5. Step 5: Solve for x
    x = 5,776,152,001/51,761
  6. Step 6: Final answer
    x = 111,592.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.