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Finding the Third Proportional to 71,517 and 154,276

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Solution

The third proportional to 71,517 and 154,276 is: 332,803.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,517 : 154,276 = 154,276 : x
  2. Step 2: Convert to fraction form
    71,517/154,276 = 154,276/x
  3. Step 3: Cross multiply
    71,517x = 154,276 × 154,276
  4. Step 4: Simplify right side
    71,517x = 23,801,084,176
  5. Step 5: Solve for x
    x = 23,801,084,176/71,517
  6. Step 6: Final answer
    x = 332,803.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.