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Finding the Third Proportional to 59,207 and 123,886

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Solution

The third proportional to 59,207 and 123,886 is: 259,221.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,207 : 123,886 = 123,886 : x
  2. Step 2: Convert to fraction form
    59,207/123,886 = 123,886/x
  3. Step 3: Cross multiply
    59,207x = 123,886 × 123,886
  4. Step 4: Simplify right side
    59,207x = 15,347,740,996
  5. Step 5: Solve for x
    x = 15,347,740,996/59,207
  6. Step 6: Final answer
    x = 259,221.73

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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.