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Finding the Third Proportional to 92,133 and 187,422.75

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Solution

The third proportional to 92,133 and 187,422.75 is: 381,267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,133 : 187,422.75 = 187,422.75 : x
  2. Step 2: Convert to fraction form
    92,133/187,422.75 = 187,422.75/x
  3. Step 3: Cross multiply
    92,133x = 187,422.75 × 187,422.75
  4. Step 4: Simplify right side
    92,133x = 35,127,287,217.56
  5. Step 5: Solve for x
    x = 35,127,287,217.56/92,133
  6. Step 6: Final answer
    x = 381,267.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.