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Finding the Third Proportional to 94,950 and 147,015

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Solution

The third proportional to 94,950 and 147,015 is: 227,629.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,950 : 147,015 = 147,015 : x
  2. Step 2: Convert to fraction form
    94,950/147,015 = 147,015/x
  3. Step 3: Cross multiply
    94,950x = 147,015 × 147,015
  4. Step 4: Simplify right side
    94,950x = 21,613,410,225
  5. Step 5: Solve for x
    x = 21,613,410,225/94,950
  6. Step 6: Final answer
    x = 227,629.39

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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.