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Finding the Third Proportional to 40,322 and 87,546

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Solution

The third proportional to 40,322 and 87,546 is: 190,077.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,322 : 87,546 = 87,546 : x
  2. Step 2: Convert to fraction form
    40,322/87,546 = 87,546/x
  3. Step 3: Cross multiply
    40,322x = 87,546 × 87,546
  4. Step 4: Simplify right side
    40,322x = 7,664,302,116
  5. Step 5: Solve for x
    x = 7,664,302,116/40,322
  6. Step 6: Final answer
    x = 190,077.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.