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Finding the Third Proportional to 120,634.31 and 158,633.44

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Solution

The third proportional to 120,634.31 and 158,633.44 is: 208,602.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,634.31 : 158,633.44 = 158,633.44 : x
  2. Step 2: Convert to fraction form
    120,634.31/158,633.44 = 158,633.44/x
  3. Step 3: Cross multiply
    120,634.31x = 158,633.44 × 158,633.44
  4. Step 4: Simplify right side
    120,634.31x = 25,164,567,493.07
  5. Step 5: Solve for x
    x = 25,164,567,493.07/120,634.31
  6. Step 6: Final answer
    x = 208,602.07

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.