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Finding the Third Proportional to 44,258 and 94,372

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Solution

The third proportional to 44,258 and 94,372 is: 201,230.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,258 : 94,372 = 94,372 : x
  2. Step 2: Convert to fraction form
    44,258/94,372 = 94,372/x
  3. Step 3: Cross multiply
    44,258x = 94,372 × 94,372
  4. Step 4: Simplify right side
    44,258x = 8,906,074,384
  5. Step 5: Solve for x
    x = 8,906,074,384/44,258
  6. Step 6: Final answer
    x = 201,230.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.