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Finding the Third Proportional to 59,192 and 126,808

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Solution

The third proportional to 59,192 and 126,808 is: 271,662.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,192 : 126,808 = 126,808 : x
  2. Step 2: Convert to fraction form
    59,192/126,808 = 126,808/x
  3. Step 3: Cross multiply
    59,192x = 126,808 × 126,808
  4. Step 4: Simplify right side
    59,192x = 16,080,268,864
  5. Step 5: Solve for x
    x = 16,080,268,864/59,192
  6. Step 6: Final answer
    x = 271,662.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.