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Finding the Third Proportional to 39,098 and 92,205

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Solution

The third proportional to 39,098 and 92,205 is: 217,447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,098 : 92,205 = 92,205 : x
  2. Step 2: Convert to fraction form
    39,098/92,205 = 92,205/x
  3. Step 3: Cross multiply
    39,098x = 92,205 × 92,205
  4. Step 4: Simplify right side
    39,098x = 8,501,762,025
  5. Step 5: Solve for x
    x = 8,501,762,025/39,098
  6. Step 6: Final answer
    x = 217,447.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.