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Finding the Third Proportional to 73,141 and 109,233

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Solution

The third proportional to 73,141 and 109,233 is: 163,134.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,141 : 109,233 = 109,233 : x
  2. Step 2: Convert to fraction form
    73,141/109,233 = 109,233/x
  3. Step 3: Cross multiply
    73,141x = 109,233 × 109,233
  4. Step 4: Simplify right side
    73,141x = 11,931,848,289
  5. Step 5: Solve for x
    x = 11,931,848,289/73,141
  6. Step 6: Final answer
    x = 163,134.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.