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Finding the Third Proportional to 140,254 and 191,617

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Solution

The third proportional to 140,254 and 191,617 is: 261,789.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,254 : 191,617 = 191,617 : x
  2. Step 2: Convert to fraction form
    140,254/191,617 = 191,617/x
  3. Step 3: Cross multiply
    140,254x = 191,617 × 191,617
  4. Step 4: Simplify right side
    140,254x = 36,717,074,689
  5. Step 5: Solve for x
    x = 36,717,074,689/140,254
  6. Step 6: Final answer
    x = 261,789.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.