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Finding the Third Proportional to 61,811 and 114,793

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Solution

The third proportional to 61,811 and 114,793 is: 213,189.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,811 : 114,793 = 114,793 : x
  2. Step 2: Convert to fraction form
    61,811/114,793 = 114,793/x
  3. Step 3: Cross multiply
    61,811x = 114,793 × 114,793
  4. Step 4: Simplify right side
    61,811x = 13,177,432,849
  5. Step 5: Solve for x
    x = 13,177,432,849/61,811
  6. Step 6: Final answer
    x = 213,189.12

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.