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Finding the Third Proportional to 44,021 and 95,055

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Solution

The third proportional to 44,021 and 95,055 is: 205,253.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,021 : 95,055 = 95,055 : x
  2. Step 2: Convert to fraction form
    44,021/95,055 = 95,055/x
  3. Step 3: Cross multiply
    44,021x = 95,055 × 95,055
  4. Step 4: Simplify right side
    44,021x = 9,035,453,025
  5. Step 5: Solve for x
    x = 9,035,453,025/44,021
  6. Step 6: Final answer
    x = 205,253.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.