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Finding the Third Proportional to 50,974.88 and 110,152.13

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Solution

The third proportional to 50,974.88 and 110,152.13 is: 238,028.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,974.88 : 110,152.13 = 110,152.13 : x
  2. Step 2: Convert to fraction form
    50,974.88/110,152.13 = 110,152.13/x
  3. Step 3: Cross multiply
    50,974.88x = 110,152.13 × 110,152.13
  4. Step 4: Simplify right side
    50,974.88x = 12,133,490,642.02
  5. Step 5: Solve for x
    x = 12,133,490,642.02/50,974.88
  6. Step 6: Final answer
    x = 238,028.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.