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Finding the Third Proportional to 51,438.75 and 105,260.94

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Solution

The third proportional to 51,438.75 and 105,260.94 is: 215,399.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,438.75 : 105,260.94 = 105,260.94 : x
  2. Step 2: Convert to fraction form
    51,438.75/105,260.94 = 105,260.94/x
  3. Step 3: Cross multiply
    51,438.75x = 105,260.94 × 105,260.94
  4. Step 4: Simplify right side
    51,438.75x = 11,079,864,963.38
  5. Step 5: Solve for x
    x = 11,079,864,963.38/51,438.75
  6. Step 6: Final answer
    x = 215,399.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.