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Finding the Third Proportional to 59,016 and 127,866

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Solution

The third proportional to 59,016 and 127,866 is: 277,038.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,016 : 127,866 = 127,866 : x
  2. Step 2: Convert to fraction form
    59,016/127,866 = 127,866/x
  3. Step 3: Cross multiply
    59,016x = 127,866 × 127,866
  4. Step 4: Simplify right side
    59,016x = 16,349,713,956
  5. Step 5: Solve for x
    x = 16,349,713,956/59,016
  6. Step 6: Final answer
    x = 277,038.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.