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Finding the Third Proportional to 39,208 and 59,168

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Solution

The third proportional to 39,208 and 59,168 is: 89,289.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,208 : 59,168 = 59,168 : x
  2. Step 2: Convert to fraction form
    39,208/59,168 = 59,168/x
  3. Step 3: Cross multiply
    39,208x = 59,168 × 59,168
  4. Step 4: Simplify right side
    39,208x = 3,500,852,224
  5. Step 5: Solve for x
    x = 3,500,852,224/39,208
  6. Step 6: Final answer
    x = 89,289.23

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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.