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Finding the Third Proportional to 34,240 and 71,168

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Solution

The third proportional to 34,240 and 71,168 is: 147,923.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,240 : 71,168 = 71,168 : x
  2. Step 2: Convert to fraction form
    34,240/71,168 = 71,168/x
  3. Step 3: Cross multiply
    34,240x = 71,168 × 71,168
  4. Step 4: Simplify right side
    34,240x = 5,064,884,224
  5. Step 5: Solve for x
    x = 5,064,884,224/34,240
  6. Step 6: Final answer
    x = 147,923.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.