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Finding the Third Proportional to 44,859 and 96,156

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Solution

The third proportional to 44,859 and 96,156 is: 206,111.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,859 : 96,156 = 96,156 : x
  2. Step 2: Convert to fraction form
    44,859/96,156 = 96,156/x
  3. Step 3: Cross multiply
    44,859x = 96,156 × 96,156
  4. Step 4: Simplify right side
    44,859x = 9,245,976,336
  5. Step 5: Solve for x
    x = 9,245,976,336/44,859
  6. Step 6: Final answer
    x = 206,111.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.