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Finding the Third Proportional to 92,200 and 187,783

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Solution

The third proportional to 92,200 and 187,783 is: 382,456.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,200 : 187,783 = 187,783 : x
  2. Step 2: Convert to fraction form
    92,200/187,783 = 187,783/x
  3. Step 3: Cross multiply
    92,200x = 187,783 × 187,783
  4. Step 4: Simplify right side
    92,200x = 35,262,455,089
  5. Step 5: Solve for x
    x = 35,262,455,089/92,200
  6. Step 6: Final answer
    x = 382,456.13

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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.