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Finding the Third Proportional to 120,087.88 and 257,983

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Solution

The third proportional to 120,087.88 and 257,983 is: 554,221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,087.88 : 257,983 = 257,983 : x
  2. Step 2: Convert to fraction form
    120,087.88/257,983 = 257,983/x
  3. Step 3: Cross multiply
    120,087.88x = 257,983 × 257,983
  4. Step 4: Simplify right side
    120,087.88x = 66,555,228,289
  5. Step 5: Solve for x
    x = 66,555,228,289/120,087.88
  6. Step 6: Final answer
    x = 554,221.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.