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Finding the Third Proportional to 44,021 and 95,053

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Solution

The third proportional to 44,021 and 95,053 is: 205,244.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,021 : 95,053 = 95,053 : x
  2. Step 2: Convert to fraction form
    44,021/95,053 = 95,053/x
  3. Step 3: Cross multiply
    44,021x = 95,053 × 95,053
  4. Step 4: Simplify right side
    44,021x = 9,035,072,809
  5. Step 5: Solve for x
    x = 9,035,072,809/44,021
  6. Step 6: Final answer
    x = 205,244.61

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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.