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Finding the Third Proportional to 44,717 and 94,764

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Solution

The third proportional to 44,717 and 94,764 is: 200,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,717 : 94,764 = 94,764 : x
  2. Step 2: Convert to fraction form
    44,717/94,764 = 94,764/x
  3. Step 3: Cross multiply
    44,717x = 94,764 × 94,764
  4. Step 4: Simplify right side
    44,717x = 8,980,215,696
  5. Step 5: Solve for x
    x = 8,980,215,696/44,717
  6. Step 6: Final answer
    x = 200,823.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.