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Finding the Third Proportional to 39,223 and 59,202

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Solution

The third proportional to 39,223 and 59,202 is: 89,357.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,223 : 59,202 = 59,202 : x
  2. Step 2: Convert to fraction form
    39,223/59,202 = 59,202/x
  3. Step 3: Cross multiply
    39,223x = 59,202 × 59,202
  4. Step 4: Simplify right side
    39,223x = 3,504,876,804
  5. Step 5: Solve for x
    x = 3,504,876,804/39,223
  6. Step 6: Final answer
    x = 89,357.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.