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Finding the Third Proportional to 92,014.50 and 187,899

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Solution

The third proportional to 92,014.50 and 187,899 is: 383,700.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,014.50 : 187,899 = 187,899 : x
  2. Step 2: Convert to fraction form
    92,014.50/187,899 = 187,899/x
  3. Step 3: Cross multiply
    92,014.50x = 187,899 × 187,899
  4. Step 4: Simplify right side
    92,014.50x = 35,306,034,201
  5. Step 5: Solve for x
    x = 35,306,034,201/92,014.50
  6. Step 6: Final answer
    x = 383,700.77

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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.