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Finding the Third Proportional to 44,365 and 96,115

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Solution

The third proportional to 44,365 and 96,115 is: 208,229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,365 : 96,115 = 96,115 : x
  2. Step 2: Convert to fraction form
    44,365/96,115 = 96,115/x
  3. Step 3: Cross multiply
    44,365x = 96,115 × 96,115
  4. Step 4: Simplify right side
    44,365x = 9,238,093,225
  5. Step 5: Solve for x
    x = 9,238,093,225/44,365
  6. Step 6: Final answer
    x = 208,229.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.