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Finding the Third Proportional to 95,789 and 145,013

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Solution

The third proportional to 95,789 and 145,013 is: 219,532.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,789 : 145,013 = 145,013 : x
  2. Step 2: Convert to fraction form
    95,789/145,013 = 145,013/x
  3. Step 3: Cross multiply
    95,789x = 145,013 × 145,013
  4. Step 4: Simplify right side
    95,789x = 21,028,770,169
  5. Step 5: Solve for x
    x = 21,028,770,169/95,789
  6. Step 6: Final answer
    x = 219,532.20

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