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Finding the Third Proportional to 92,011 and 187,892

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Solution

The third proportional to 92,011 and 187,892 is: 383,686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,011 : 187,892 = 187,892 : x
  2. Step 2: Convert to fraction form
    92,011/187,892 = 187,892/x
  3. Step 3: Cross multiply
    92,011x = 187,892 × 187,892
  4. Step 4: Simplify right side
    92,011x = 35,303,403,664
  5. Step 5: Solve for x
    x = 35,303,403,664/92,011
  6. Step 6: Final answer
    x = 383,686.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.