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Finding the Third Proportional to 73,112 and 110,206

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Solution

The third proportional to 73,112 and 110,206 is: 166,119.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,112 : 110,206 = 110,206 : x
  2. Step 2: Convert to fraction form
    73,112/110,206 = 110,206/x
  3. Step 3: Cross multiply
    73,112x = 110,206 × 110,206
  4. Step 4: Simplify right side
    73,112x = 12,145,362,436
  5. Step 5: Solve for x
    x = 12,145,362,436/73,112
  6. Step 6: Final answer
    x = 166,119.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.