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Finding the Third Proportional to 63,807.75 and 137,370.94

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Solution

The third proportional to 63,807.75 and 137,370.94 is: 295,744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,807.75 : 137,370.94 = 137,370.94 : x
  2. Step 2: Convert to fraction form
    63,807.75/137,370.94 = 137,370.94/x
  3. Step 3: Cross multiply
    63,807.75x = 137,370.94 × 137,370.94
  4. Step 4: Simplify right side
    63,807.75x = 18,870,774,469.63
  5. Step 5: Solve for x
    x = 18,870,774,469.63/63,807.75
  6. Step 6: Final answer
    x = 295,744.24

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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.