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Finding the Third Proportional to 44,013 and 95,040

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Solution

The third proportional to 44,013 and 95,040 is: 205,225.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,013 : 95,040 = 95,040 : x
  2. Step 2: Convert to fraction form
    44,013/95,040 = 95,040/x
  3. Step 3: Cross multiply
    44,013x = 95,040 × 95,040
  4. Step 4: Simplify right side
    44,013x = 9,032,601,600
  5. Step 5: Solve for x
    x = 9,032,601,600/44,013
  6. Step 6: Final answer
    x = 205,225.77

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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.