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Finding the Third Proportional to 52,236 and 76,149

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Solution

The third proportional to 52,236 and 76,149 is: 111,009.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,236 : 76,149 = 76,149 : x
  2. Step 2: Convert to fraction form
    52,236/76,149 = 76,149/x
  3. Step 3: Cross multiply
    52,236x = 76,149 × 76,149
  4. Step 4: Simplify right side
    52,236x = 5,798,670,201
  5. Step 5: Solve for x
    x = 5,798,670,201/52,236
  6. Step 6: Final answer
    x = 111,009.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.