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Finding the Third Proportional to 61,736.25 and 95,169.75

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Solution

The third proportional to 61,736.25 and 95,169.75 is: 146,709.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,736.25 : 95,169.75 = 95,169.75 : x
  2. Step 2: Convert to fraction form
    61,736.25/95,169.75 = 95,169.75/x
  3. Step 3: Cross multiply
    61,736.25x = 95,169.75 × 95,169.75
  4. Step 4: Simplify right side
    61,736.25x = 9,057,281,315.06
  5. Step 5: Solve for x
    x = 9,057,281,315.06/61,736.25
  6. Step 6: Final answer
    x = 146,709.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.