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Finding the Third Proportional to 95,805 and 145,033

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Solution

The third proportional to 95,805 and 145,033 is: 219,556.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,805 : 145,033 = 145,033 : x
  2. Step 2: Convert to fraction form
    95,805/145,033 = 145,033/x
  3. Step 3: Cross multiply
    95,805x = 145,033 × 145,033
  4. Step 4: Simplify right side
    95,805x = 21,034,571,089
  5. Step 5: Solve for x
    x = 21,034,571,089/95,805
  6. Step 6: Final answer
    x = 219,556.09

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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.