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Finding the Third Proportional to 40,140.25 and 88,226

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Solution

The third proportional to 40,140.25 and 88,226 is: 193,915.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,140.25 : 88,226 = 88,226 : x
  2. Step 2: Convert to fraction form
    40,140.25/88,226 = 88,226/x
  3. Step 3: Cross multiply
    40,140.25x = 88,226 × 88,226
  4. Step 4: Simplify right side
    40,140.25x = 7,783,827,076
  5. Step 5: Solve for x
    x = 7,783,827,076/40,140.25
  6. Step 6: Final answer
    x = 193,915.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.