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Finding the Third Proportional to 52,632 and 76,183.88

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Solution

The third proportional to 52,632 and 76,183.88 is: 110,274.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,632 : 76,183.88 = 76,183.88 : x
  2. Step 2: Convert to fraction form
    52,632/76,183.88 = 76,183.88/x
  3. Step 3: Cross multiply
    52,632x = 76,183.88 × 76,183.88
  4. Step 4: Simplify right side
    52,632x = 5,803,982,810.02
  5. Step 5: Solve for x
    x = 5,803,982,810.02/52,632
  6. Step 6: Final answer
    x = 110,274.79

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.