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Finding the Third Proportional to 51,050 and 76,629

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Solution

The third proportional to 51,050 and 76,629 is: 115,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,050 : 76,629 = 76,629 : x
  2. Step 2: Convert to fraction form
    51,050/76,629 = 76,629/x
  3. Step 3: Cross multiply
    51,050x = 76,629 × 76,629
  4. Step 4: Simplify right side
    51,050x = 5,872,003,641
  5. Step 5: Solve for x
    x = 5,872,003,641/51,050
  6. Step 6: Final answer
    x = 115,024.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.