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Finding the Third Proportional to 73,812 and 114,606

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Solution

The third proportional to 73,812 and 114,606 is: 177,945.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,812 : 114,606 = 114,606 : x
  2. Step 2: Convert to fraction form
    73,812/114,606 = 114,606/x
  3. Step 3: Cross multiply
    73,812x = 114,606 × 114,606
  4. Step 4: Simplify right side
    73,812x = 13,134,535,236
  5. Step 5: Solve for x
    x = 13,134,535,236/73,812
  6. Step 6: Final answer
    x = 177,945.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.