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Finding the Third Proportional to 35,173 and 81,356

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Solution

The third proportional to 35,173 and 81,356 is: 188,178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,173 : 81,356 = 81,356 : x
  2. Step 2: Convert to fraction form
    35,173/81,356 = 81,356/x
  3. Step 3: Cross multiply
    35,173x = 81,356 × 81,356
  4. Step 4: Simplify right side
    35,173x = 6,618,798,736
  5. Step 5: Solve for x
    x = 6,618,798,736/35,173
  6. Step 6: Final answer
    x = 188,178.40

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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.