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Finding the Third Proportional to 51,799.50 and 114,490.13

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Solution

The third proportional to 51,799.50 and 114,490.13 is: 253,052.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,799.50 : 114,490.13 = 114,490.13 : x
  2. Step 2: Convert to fraction form
    51,799.50/114,490.13 = 114,490.13/x
  3. Step 3: Cross multiply
    51,799.50x = 114,490.13 × 114,490.13
  4. Step 4: Simplify right side
    51,799.50x = 13,107,988,722.52
  5. Step 5: Solve for x
    x = 13,107,988,722.52/51,799.50
  6. Step 6: Final answer
    x = 253,052.42

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.