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Finding the Third Proportional to 43,442 and 94,357

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Solution

The third proportional to 43,442 and 94,357 is: 204,945.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,442 : 94,357 = 94,357 : x
  2. Step 2: Convert to fraction form
    43,442/94,357 = 94,357/x
  3. Step 3: Cross multiply
    43,442x = 94,357 × 94,357
  4. Step 4: Simplify right side
    43,442x = 8,903,243,449
  5. Step 5: Solve for x
    x = 8,903,243,449/43,442
  6. Step 6: Final answer
    x = 204,945.52

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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.