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Finding the Third Proportional to 71,295 and 151,767

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Solution

The third proportional to 71,295 and 151,767 is: 323,069.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,295 : 151,767 = 151,767 : x
  2. Step 2: Convert to fraction form
    71,295/151,767 = 151,767/x
  3. Step 3: Cross multiply
    71,295x = 151,767 × 151,767
  4. Step 4: Simplify right side
    71,295x = 23,033,222,289
  5. Step 5: Solve for x
    x = 23,033,222,289/71,295
  6. Step 6: Final answer
    x = 323,069.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.