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Finding the Third Proportional to 65,701.13 and 109,896.75

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Solution

The third proportional to 65,701.13 and 109,896.75 is: 183,821.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,701.13 : 109,896.75 = 109,896.75 : x
  2. Step 2: Convert to fraction form
    65,701.13/109,896.75 = 109,896.75/x
  3. Step 3: Cross multiply
    65,701.13x = 109,896.75 × 109,896.75
  4. Step 4: Simplify right side
    65,701.13x = 12,077,295,660.56
  5. Step 5: Solve for x
    x = 12,077,295,660.56/65,701.13
  6. Step 6: Final answer
    x = 183,821.75

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.