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Finding the Third Proportional to 125,934.75 and 342,174.38

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Solution

The third proportional to 125,934.75 and 342,174.38 is: 929,714.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,934.75 : 342,174.38 = 342,174.38 : x
  2. Step 2: Convert to fraction form
    125,934.75/342,174.38 = 342,174.38/x
  3. Step 3: Cross multiply
    125,934.75x = 342,174.38 × 342,174.38
  4. Step 4: Simplify right side
    125,934.75x = 117,083,302,906.64
  5. Step 5: Solve for x
    x = 117,083,302,906.64/125,934.75
  6. Step 6: Final answer
    x = 929,714.02

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.