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Finding the Third Proportional to 63,192 and 94,950

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Solution

The third proportional to 63,192 and 94,950 is: 142,668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,192 : 94,950 = 94,950 : x
  2. Step 2: Convert to fraction form
    63,192/94,950 = 94,950/x
  3. Step 3: Cross multiply
    63,192x = 94,950 × 94,950
  4. Step 4: Simplify right side
    63,192x = 9,015,502,500
  5. Step 5: Solve for x
    x = 9,015,502,500/63,192
  6. Step 6: Final answer
    x = 142,668.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.