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Finding the Third Proportional to 124,821 and 191,853

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Solution

The third proportional to 124,821 and 191,853 is: 294,882.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,821 : 191,853 = 191,853 : x
  2. Step 2: Convert to fraction form
    124,821/191,853 = 191,853/x
  3. Step 3: Cross multiply
    124,821x = 191,853 × 191,853
  4. Step 4: Simplify right side
    124,821x = 36,807,573,609
  5. Step 5: Solve for x
    x = 36,807,573,609/124,821
  6. Step 6: Final answer
    x = 294,882.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.