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Finding the Third Proportional to 95,782 and 145,006

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Solution

The third proportional to 95,782 and 145,006 is: 219,527.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,782 : 145,006 = 145,006 : x
  2. Step 2: Convert to fraction form
    95,782/145,006 = 145,006/x
  3. Step 3: Cross multiply
    95,782x = 145,006 × 145,006
  4. Step 4: Simplify right side
    95,782x = 21,026,740,036
  5. Step 5: Solve for x
    x = 21,026,740,036/95,782
  6. Step 6: Final answer
    x = 219,527.05

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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.