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Finding the Third Proportional to 88,277 and 126,106

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Solution

The third proportional to 88,277 and 126,106 is: 180,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,277 : 126,106 = 126,106 : x
  2. Step 2: Convert to fraction form
    88,277/126,106 = 126,106/x
  3. Step 3: Cross multiply
    88,277x = 126,106 × 126,106
  4. Step 4: Simplify right side
    88,277x = 15,902,723,236
  5. Step 5: Solve for x
    x = 15,902,723,236/88,277
  6. Step 6: Final answer
    x = 180,145.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.