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Finding the Third Proportional to 43,098 and 63,223

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Solution

The third proportional to 43,098 and 63,223 is: 92,745.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,098 : 63,223 = 63,223 : x
  2. Step 2: Convert to fraction form
    43,098/63,223 = 63,223/x
  3. Step 3: Cross multiply
    43,098x = 63,223 × 63,223
  4. Step 4: Simplify right side
    43,098x = 3,997,147,729
  5. Step 5: Solve for x
    x = 3,997,147,729/43,098
  6. Step 6: Final answer
    x = 92,745.55

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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.