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Finding the Third Proportional to 59,143 and 126,029

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Solution

The third proportional to 59,143 and 126,029 is: 268,557.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,143 : 126,029 = 126,029 : x
  2. Step 2: Convert to fraction form
    59,143/126,029 = 126,029/x
  3. Step 3: Cross multiply
    59,143x = 126,029 × 126,029
  4. Step 4: Simplify right side
    59,143x = 15,883,308,841
  5. Step 5: Solve for x
    x = 15,883,308,841/59,143
  6. Step 6: Final answer
    x = 268,557.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.