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Finding the Third Proportional to 95,805.75 and 145,034.25

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Solution

The third proportional to 95,805.75 and 145,034.25 is: 219,558.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,805.75 : 145,034.25 = 145,034.25 : x
  2. Step 2: Convert to fraction form
    95,805.75/145,034.25 = 145,034.25/x
  3. Step 3: Cross multiply
    95,805.75x = 145,034.25 × 145,034.25
  4. Step 4: Simplify right side
    95,805.75x = 21,034,933,673.06
  5. Step 5: Solve for x
    x = 21,034,933,673.06/95,805.75
  6. Step 6: Final answer
    x = 219,558.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.