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Finding the Third Proportional to 35,578 and 82,356

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Solution

The third proportional to 35,578 and 82,356 is: 190,637.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,578 : 82,356 = 82,356 : x
  2. Step 2: Convert to fraction form
    35,578/82,356 = 82,356/x
  3. Step 3: Cross multiply
    35,578x = 82,356 × 82,356
  4. Step 4: Simplify right side
    35,578x = 6,782,510,736
  5. Step 5: Solve for x
    x = 6,782,510,736/35,578
  6. Step 6: Final answer
    x = 190,637.77

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.