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Finding the Third Proportional to 44,856 and 94,359

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Solution

The third proportional to 44,856 and 94,359 is: 198,493.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,856 : 94,359 = 94,359 : x
  2. Step 2: Convert to fraction form
    44,856/94,359 = 94,359/x
  3. Step 3: Cross multiply
    44,856x = 94,359 × 94,359
  4. Step 4: Simplify right side
    44,856x = 8,903,620,881
  5. Step 5: Solve for x
    x = 8,903,620,881/44,856
  6. Step 6: Final answer
    x = 198,493.42

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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.