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Finding the Third Proportional to 44,846 and 95,158

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Solution

The third proportional to 44,846 and 95,158 is: 201,914.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,846 : 95,158 = 95,158 : x
  2. Step 2: Convert to fraction form
    44,846/95,158 = 95,158/x
  3. Step 3: Cross multiply
    44,846x = 95,158 × 95,158
  4. Step 4: Simplify right side
    44,846x = 9,055,044,964
  5. Step 5: Solve for x
    x = 9,055,044,964/44,846
  6. Step 6: Final answer
    x = 201,914.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.