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Finding the Third Proportional to 27,178 and 56,102

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Solution

The third proportional to 27,178 and 56,102 is: 115,808.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178 : 56,102 = 56,102 : x
  2. Step 2: Convert to fraction form
    27,178/56,102 = 56,102/x
  3. Step 3: Cross multiply
    27,178x = 56,102 × 56,102
  4. Step 4: Simplify right side
    27,178x = 3,147,434,404
  5. Step 5: Solve for x
    x = 3,147,434,404/27,178
  6. Step 6: Final answer
    x = 115,808.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.