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Finding the Third Proportional to 61,217.44 and 86,698.69

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Solution

The third proportional to 61,217.44 and 86,698.69 is: 122,786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,217.44 : 86,698.69 = 86,698.69 : x
  2. Step 2: Convert to fraction form
    61,217.44/86,698.69 = 86,698.69/x
  3. Step 3: Cross multiply
    61,217.44x = 86,698.69 × 86,698.69
  4. Step 4: Simplify right side
    61,217.44x = 7,516,662,414.22
  5. Step 5: Solve for x
    x = 7,516,662,414.22/61,217.44
  6. Step 6: Final answer
    x = 122,786.30

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.