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Finding the Third Proportional to 34,702 and 77,168

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Solution

The third proportional to 34,702 and 77,168 is: 171,601.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,702 : 77,168 = 77,168 : x
  2. Step 2: Convert to fraction form
    34,702/77,168 = 77,168/x
  3. Step 3: Cross multiply
    34,702x = 77,168 × 77,168
  4. Step 4: Simplify right side
    34,702x = 5,954,900,224
  5. Step 5: Solve for x
    x = 5,954,900,224/34,702
  6. Step 6: Final answer
    x = 171,601.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.