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Finding the Third Proportional to 81,138 and 109,203

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Solution

The third proportional to 81,138 and 109,203 is: 146,975.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,138 : 109,203 = 109,203 : x
  2. Step 2: Convert to fraction form
    81,138/109,203 = 109,203/x
  3. Step 3: Cross multiply
    81,138x = 109,203 × 109,203
  4. Step 4: Simplify right side
    81,138x = 11,925,295,209
  5. Step 5: Solve for x
    x = 11,925,295,209/81,138
  6. Step 6: Final answer
    x = 146,975.46

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.