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Finding the Third Proportional to 59,849 and 126,010

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Solution

The third proportional to 59,849 and 126,010 is: 265,309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,849 : 126,010 = 126,010 : x
  2. Step 2: Convert to fraction form
    59,849/126,010 = 126,010/x
  3. Step 3: Cross multiply
    59,849x = 126,010 × 126,010
  4. Step 4: Simplify right side
    59,849x = 15,878,520,100
  5. Step 5: Solve for x
    x = 15,878,520,100/59,849
  6. Step 6: Final answer
    x = 265,309.70

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.