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Finding the Third Proportional to 42,319.50 and 92,226

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Solution

The third proportional to 42,319.50 and 92,226 is: 200,986.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,319.50 : 92,226 = 92,226 : x
  2. Step 2: Convert to fraction form
    42,319.50/92,226 = 92,226/x
  3. Step 3: Cross multiply
    42,319.50x = 92,226 × 92,226
  4. Step 4: Simplify right side
    42,319.50x = 8,505,635,076
  5. Step 5: Solve for x
    x = 8,505,635,076/42,319.50
  6. Step 6: Final answer
    x = 200,986.19

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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.