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Finding the Third Proportional to 59,222 and 127,228

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Solution

The third proportional to 59,222 and 127,228 is: 273,326.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,222 : 127,228 = 127,228 : x
  2. Step 2: Convert to fraction form
    59,222/127,228 = 127,228/x
  3. Step 3: Cross multiply
    59,222x = 127,228 × 127,228
  4. Step 4: Simplify right side
    59,222x = 16,186,963,984
  5. Step 5: Solve for x
    x = 16,186,963,984/59,222
  6. Step 6: Final answer
    x = 273,326.87

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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.