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Finding the Third Proportional to 66,519.35 and 105,896.74

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Solution

The third proportional to 66,519.35 and 105,896.74 is: 168,584.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,519.35 : 105,896.74 = 105,896.74 : x
  2. Step 2: Convert to fraction form
    66,519.35/105,896.74 = 105,896.74/x
  3. Step 3: Cross multiply
    66,519.35x = 105,896.74 × 105,896.74
  4. Step 4: Simplify right side
    66,519.35x = 11,214,120,005.93
  5. Step 5: Solve for x
    x = 11,214,120,005.93/66,519.35
  6. Step 6: Final answer
    x = 168,584.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.