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Finding the Third Proportional to 27,162 and 56,403

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Solution

The third proportional to 27,162 and 56,403 is: 117,123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,162 : 56,403 = 56,403 : x
  2. Step 2: Convert to fraction form
    27,162/56,403 = 56,403/x
  3. Step 3: Cross multiply
    27,162x = 56,403 × 56,403
  4. Step 4: Simplify right side
    27,162x = 3,181,298,409
  5. Step 5: Solve for x
    x = 3,181,298,409/27,162
  6. Step 6: Final answer
    x = 117,123.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.