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Finding the Third Proportional to 52,498.13 and 134,611.88

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Solution

The third proportional to 52,498.13 and 134,611.88 is: 345,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,498.13 : 134,611.88 = 134,611.88 : x
  2. Step 2: Convert to fraction form
    52,498.13/134,611.88 = 134,611.88/x
  3. Step 3: Cross multiply
    52,498.13x = 134,611.88 × 134,611.88
  4. Step 4: Simplify right side
    52,498.13x = 18,120,356,891.02
  5. Step 5: Solve for x
    x = 18,120,356,891.02/52,498.13
  6. Step 6: Final answer
    x = 345,161.98

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.