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Finding the Third Proportional to 44,859 and 94,365

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Solution

The third proportional to 44,859 and 94,365 is: 198,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,859 : 94,365 = 94,365 : x
  2. Step 2: Convert to fraction form
    44,859/94,365 = 94,365/x
  3. Step 3: Cross multiply
    44,859x = 94,365 × 94,365
  4. Step 4: Simplify right side
    44,859x = 8,904,753,225
  5. Step 5: Solve for x
    x = 8,904,753,225/44,859
  6. Step 6: Final answer
    x = 198,505.39

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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.