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Finding the Third Proportional to 44,851 and 94,349

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Solution

The third proportional to 44,851 and 94,349 is: 198,473.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,851 : 94,349 = 94,349 : x
  2. Step 2: Convert to fraction form
    44,851/94,349 = 94,349/x
  3. Step 3: Cross multiply
    44,851x = 94,349 × 94,349
  4. Step 4: Simplify right side
    44,851x = 8,901,733,801
  5. Step 5: Solve for x
    x = 8,901,733,801/44,851
  6. Step 6: Final answer
    x = 198,473.47

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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.