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Finding the Third Proportional to 103,247 and 152,950

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Solution

The third proportional to 103,247 and 152,950 is: 226,579.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,247 : 152,950 = 152,950 : x
  2. Step 2: Convert to fraction form
    103,247/152,950 = 152,950/x
  3. Step 3: Cross multiply
    103,247x = 152,950 × 152,950
  4. Step 4: Simplify right side
    103,247x = 23,393,702,500
  5. Step 5: Solve for x
    x = 23,393,702,500/103,247
  6. Step 6: Final answer
    x = 226,579.97

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.