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Finding the Third Proportional to 61,727.91 and 132,662.81

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Solution

The third proportional to 61,727.91 and 132,662.81 is: 285,112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,727.91 : 132,662.81 = 132,662.81 : x
  2. Step 2: Convert to fraction form
    61,727.91/132,662.81 = 132,662.81/x
  3. Step 3: Cross multiply
    61,727.91x = 132,662.81 × 132,662.81
  4. Step 4: Simplify right side
    61,727.91x = 17,599,421,820.41
  5. Step 5: Solve for x
    x = 17,599,421,820.41/61,727.91
  6. Step 6: Final answer
    x = 285,112.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.