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Finding the Third Proportional to 41,102 and 84,146

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Solution

The third proportional to 41,102 and 84,146 is: 172,267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,102 : 84,146 = 84,146 : x
  2. Step 2: Convert to fraction form
    41,102/84,146 = 84,146/x
  3. Step 3: Cross multiply
    41,102x = 84,146 × 84,146
  4. Step 4: Simplify right side
    41,102x = 7,080,549,316
  5. Step 5: Solve for x
    x = 7,080,549,316/41,102
  6. Step 6: Final answer
    x = 172,267.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.