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Finding the Third Proportional to 73,230 and 110,655

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Solution

The third proportional to 73,230 and 110,655 is: 167,206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,230 : 110,655 = 110,655 : x
  2. Step 2: Convert to fraction form
    73,230/110,655 = 110,655/x
  3. Step 3: Cross multiply
    73,230x = 110,655 × 110,655
  4. Step 4: Simplify right side
    73,230x = 12,244,529,025
  5. Step 5: Solve for x
    x = 12,244,529,025/73,230
  6. Step 6: Final answer
    x = 167,206.46

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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.