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Finding the Third Proportional to 44,714 and 94,758

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Solution

The third proportional to 44,714 and 94,758 is: 200,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,714 : 94,758 = 94,758 : x
  2. Step 2: Convert to fraction form
    44,714/94,758 = 94,758/x
  3. Step 3: Cross multiply
    44,714x = 94,758 × 94,758
  4. Step 4: Simplify right side
    44,714x = 8,979,078,564
  5. Step 5: Solve for x
    x = 8,979,078,564/44,714
  6. Step 6: Final answer
    x = 200,811.35

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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.