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Finding the Third Proportional to 43,086 and 63,210

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Solution

The third proportional to 43,086 and 63,210 is: 92,733.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,086 : 63,210 = 63,210 : x
  2. Step 2: Convert to fraction form
    43,086/63,210 = 63,210/x
  3. Step 3: Cross multiply
    43,086x = 63,210 × 63,210
  4. Step 4: Simplify right side
    43,086x = 3,995,504,100
  5. Step 5: Solve for x
    x = 3,995,504,100/43,086
  6. Step 6: Final answer
    x = 92,733.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.