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Finding the Third Proportional to 44,863 and 94,373

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Solution

The third proportional to 44,863 and 94,373 is: 198,521.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,863 : 94,373 = 94,373 : x
  2. Step 2: Convert to fraction form
    44,863/94,373 = 94,373/x
  3. Step 3: Cross multiply
    44,863x = 94,373 × 94,373
  4. Step 4: Simplify right side
    44,863x = 8,906,263,129
  5. Step 5: Solve for x
    x = 8,906,263,129/44,863
  6. Step 6: Final answer
    x = 198,521.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.