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Finding the Third Proportional to 63,664.13 and 134,917.13

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Solution

The third proportional to 63,664.13 and 134,917.13 is: 285,916.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,664.13 : 134,917.13 = 134,917.13 : x
  2. Step 2: Convert to fraction form
    63,664.13/134,917.13 = 134,917.13/x
  3. Step 3: Cross multiply
    63,664.13x = 134,917.13 × 134,917.13
  4. Step 4: Simplify right side
    63,664.13x = 18,202,630,618.27
  5. Step 5: Solve for x
    x = 18,202,630,618.27/63,664.13
  6. Step 6: Final answer
    x = 285,916.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.