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Finding the Third Proportional to 125,714.25 and 170,832.38

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Solution

The third proportional to 125,714.25 and 170,832.38 is: 232,143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,714.25 : 170,832.38 = 170,832.38 : x
  2. Step 2: Convert to fraction form
    125,714.25/170,832.38 = 170,832.38/x
  3. Step 3: Cross multiply
    125,714.25x = 170,832.38 × 170,832.38
  4. Step 4: Simplify right side
    125,714.25x = 29,183,700,348.14
  5. Step 5: Solve for x
    x = 29,183,700,348.14/125,714.25
  6. Step 6: Final answer
    x = 232,143.14

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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.