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Finding the Third Proportional to 50,946 and 110,650

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Solution

The third proportional to 50,946 and 110,650 is: 240,321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,946 : 110,650 = 110,650 : x
  2. Step 2: Convert to fraction form
    50,946/110,650 = 110,650/x
  3. Step 3: Cross multiply
    50,946x = 110,650 × 110,650
  4. Step 4: Simplify right side
    50,946x = 12,243,422,500
  5. Step 5: Solve for x
    x = 12,243,422,500/50,946
  6. Step 6: Final answer
    x = 240,321.57

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.