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Finding the Third Proportional to 73,811 and 114,603

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Solution

The third proportional to 73,811 and 114,603 is: 177,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,811 : 114,603 = 114,603 : x
  2. Step 2: Convert to fraction form
    73,811/114,603 = 114,603/x
  3. Step 3: Cross multiply
    73,811x = 114,603 × 114,603
  4. Step 4: Simplify right side
    73,811x = 13,133,847,609
  5. Step 5: Solve for x
    x = 13,133,847,609/73,811
  6. Step 6: Final answer
    x = 177,938.89

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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.