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Finding the Third Proportional to 49,686.75 and 108,762.75

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Solution

The third proportional to 49,686.75 and 108,762.75 is: 238,078.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,686.75 : 108,762.75 = 108,762.75 : x
  2. Step 2: Convert to fraction form
    49,686.75/108,762.75 = 108,762.75/x
  3. Step 3: Cross multiply
    49,686.75x = 108,762.75 × 108,762.75
  4. Step 4: Simplify right side
    49,686.75x = 11,829,335,787.56
  5. Step 5: Solve for x
    x = 11,829,335,787.56/49,686.75
  6. Step 6: Final answer
    x = 238,078.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.