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Finding the Third Proportional to 44,414 and 94,580

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Solution

The third proportional to 44,414 and 94,580 is: 201,408.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,414 : 94,580 = 94,580 : x
  2. Step 2: Convert to fraction form
    44,414/94,580 = 94,580/x
  3. Step 3: Cross multiply
    44,414x = 94,580 × 94,580
  4. Step 4: Simplify right side
    44,414x = 8,945,376,400
  5. Step 5: Solve for x
    x = 8,945,376,400/44,414
  6. Step 6: Final answer
    x = 201,408.93

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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.