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Finding the Third Proportional to 40,141 and 88,228

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Solution

The third proportional to 40,141 and 88,228 is: 193,920.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,141 : 88,228 = 88,228 : x
  2. Step 2: Convert to fraction form
    40,141/88,228 = 88,228/x
  3. Step 3: Cross multiply
    40,141x = 88,228 × 88,228
  4. Step 4: Simplify right side
    40,141x = 7,784,179,984
  5. Step 5: Solve for x
    x = 7,784,179,984/40,141
  6. Step 6: Final answer
    x = 193,920.93

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