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Finding the Third Proportional to 44,849 and 95,164

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Solution

The third proportional to 44,849 and 95,164 is: 201,926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,849 : 95,164 = 95,164 : x
  2. Step 2: Convert to fraction form
    44,849/95,164 = 95,164/x
  3. Step 3: Cross multiply
    44,849x = 95,164 × 95,164
  4. Step 4: Simplify right side
    44,849x = 9,056,186,896
  5. Step 5: Solve for x
    x = 9,056,186,896/44,849
  6. Step 6: Final answer
    x = 201,926.17

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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.