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Finding the Third Proportional to 59,209 and 123,890

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Solution

The third proportional to 59,209 and 123,890 is: 259,229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,209 : 123,890 = 123,890 : x
  2. Step 2: Convert to fraction form
    59,209/123,890 = 123,890/x
  3. Step 3: Cross multiply
    59,209x = 123,890 × 123,890
  4. Step 4: Simplify right side
    59,209x = 15,348,732,100
  5. Step 5: Solve for x
    x = 15,348,732,100/59,209
  6. Step 6: Final answer
    x = 259,229.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.