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Finding the Third Proportional to 59,211 and 127,206

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Solution

The third proportional to 59,211 and 127,206 is: 273,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,211 : 127,206 = 127,206 : x
  2. Step 2: Convert to fraction form
    59,211/127,206 = 127,206/x
  3. Step 3: Cross multiply
    59,211x = 127,206 × 127,206
  4. Step 4: Simplify right side
    59,211x = 16,181,366,436
  5. Step 5: Solve for x
    x = 16,181,366,436/59,211
  6. Step 6: Final answer
    x = 273,283.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.