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Finding the Third Proportional to 52,288.88 and 114,831

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Solution

The third proportional to 52,288.88 and 114,831 is: 252,179.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,288.88 : 114,831 = 114,831 : x
  2. Step 2: Convert to fraction form
    52,288.88/114,831 = 114,831/x
  3. Step 3: Cross multiply
    52,288.88x = 114,831 × 114,831
  4. Step 4: Simplify right side
    52,288.88x = 13,186,158,561
  5. Step 5: Solve for x
    x = 13,186,158,561/52,288.88
  6. Step 6: Final answer
    x = 252,179.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.