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Finding the Third Proportional to 125,998 and 194,950

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Solution

The third proportional to 125,998 and 194,950 is: 301,635.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,998 : 194,950 = 194,950 : x
  2. Step 2: Convert to fraction form
    125,998/194,950 = 194,950/x
  3. Step 3: Cross multiply
    125,998x = 194,950 × 194,950
  4. Step 4: Simplify right side
    125,998x = 38,005,502,500
  5. Step 5: Solve for x
    x = 38,005,502,500/125,998
  6. Step 6: Final answer
    x = 301,635.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.