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Finding the Third Proportional to 85,222 and 125,204

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Solution

The third proportional to 85,222 and 125,204 is: 183,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,222 : 125,204 = 125,204 : x
  2. Step 2: Convert to fraction form
    85,222/125,204 = 125,204/x
  3. Step 3: Cross multiply
    85,222x = 125,204 × 125,204
  4. Step 4: Simplify right side
    85,222x = 15,676,041,616
  5. Step 5: Solve for x
    x = 15,676,041,616/85,222
  6. Step 6: Final answer
    x = 183,943.60

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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.