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Finding the Third Proportional to 62,571 and 92,196

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Solution

The third proportional to 62,571 and 92,196 is: 135,847.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,571 : 92,196 = 92,196 : x
  2. Step 2: Convert to fraction form
    62,571/92,196 = 92,196/x
  3. Step 3: Cross multiply
    62,571x = 92,196 × 92,196
  4. Step 4: Simplify right side
    62,571x = 8,500,102,416
  5. Step 5: Solve for x
    x = 8,500,102,416/62,571
  6. Step 6: Final answer
    x = 135,847.32

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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.