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Finding the Third Proportional to 58,866 and 126,210

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Solution

The third proportional to 58,866 and 126,210 is: 270,597.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,866 : 126,210 = 126,210 : x
  2. Step 2: Convert to fraction form
    58,866/126,210 = 126,210/x
  3. Step 3: Cross multiply
    58,866x = 126,210 × 126,210
  4. Step 4: Simplify right side
    58,866x = 15,928,964,100
  5. Step 5: Solve for x
    x = 15,928,964,100/58,866
  6. Step 6: Final answer
    x = 270,597.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.