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Finding the Third Proportional to 59,167 and 129,251

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Solution

The third proportional to 59,167 and 129,251 is: 282,350.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,167 : 129,251 = 129,251 : x
  2. Step 2: Convert to fraction form
    59,167/129,251 = 129,251/x
  3. Step 3: Cross multiply
    59,167x = 129,251 × 129,251
  4. Step 4: Simplify right side
    59,167x = 16,705,821,001
  5. Step 5: Solve for x
    x = 16,705,821,001/59,167
  6. Step 6: Final answer
    x = 282,350.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.