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Finding the Third Proportional to 55,833.75 and 121,995

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Solution

The third proportional to 55,833.75 and 121,995 is: 266,555.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,833.75 : 121,995 = 121,995 : x
  2. Step 2: Convert to fraction form
    55,833.75/121,995 = 121,995/x
  3. Step 3: Cross multiply
    55,833.75x = 121,995 × 121,995
  4. Step 4: Simplify right side
    55,833.75x = 14,882,780,025
  5. Step 5: Solve for x
    x = 14,882,780,025/55,833.75
  6. Step 6: Final answer
    x = 266,555.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.