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Finding the Third Proportional to 79,692 and 187,853

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Solution

The third proportional to 79,692 and 187,853 is: 442,814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,692 : 187,853 = 187,853 : x
  2. Step 2: Convert to fraction form
    79,692/187,853 = 187,853/x
  3. Step 3: Cross multiply
    79,692x = 187,853 × 187,853
  4. Step 4: Simplify right side
    79,692x = 35,288,749,609
  5. Step 5: Solve for x
    x = 35,288,749,609/79,692
  6. Step 6: Final answer
    x = 442,814.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.