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Finding the Third Proportional to 50,102 and 74,995

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Solution

The third proportional to 50,102 and 74,995 is: 112,256.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,102 : 74,995 = 74,995 : x
  2. Step 2: Convert to fraction form
    50,102/74,995 = 74,995/x
  3. Step 3: Cross multiply
    50,102x = 74,995 × 74,995
  4. Step 4: Simplify right side
    50,102x = 5,624,250,025
  5. Step 5: Solve for x
    x = 5,624,250,025/50,102
  6. Step 6: Final answer
    x = 112,256.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.