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Finding the Third Proportional to 124,625 and 168,986

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Solution

The third proportional to 124,625 and 168,986 is: 229,137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,625 : 168,986 = 168,986 : x
  2. Step 2: Convert to fraction form
    124,625/168,986 = 168,986/x
  3. Step 3: Cross multiply
    124,625x = 168,986 × 168,986
  4. Step 4: Simplify right side
    124,625x = 28,556,268,196
  5. Step 5: Solve for x
    x = 28,556,268,196/124,625
  6. Step 6: Final answer
    x = 229,137.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.