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Finding the Third Proportional to 92,524 and 201,769

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Solution

The third proportional to 92,524 and 201,769 is: 440,001.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,524 : 201,769 = 201,769 : x
  2. Step 2: Convert to fraction form
    92,524/201,769 = 201,769/x
  3. Step 3: Cross multiply
    92,524x = 201,769 × 201,769
  4. Step 4: Simplify right side
    92,524x = 40,710,729,361
  5. Step 5: Solve for x
    x = 40,710,729,361/92,524
  6. Step 6: Final answer
    x = 440,001.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.