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Finding the Third Proportional to 50,088 and 76,995

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Solution

The third proportional to 50,088 and 76,995 is: 118,356.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,088 : 76,995 = 76,995 : x
  2. Step 2: Convert to fraction form
    50,088/76,995 = 76,995/x
  3. Step 3: Cross multiply
    50,088x = 76,995 × 76,995
  4. Step 4: Simplify right side
    50,088x = 5,928,230,025
  5. Step 5: Solve for x
    x = 5,928,230,025/50,088
  6. Step 6: Final answer
    x = 118,356.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.