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Finding the Third Proportional to 50,712 and 109,200

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Solution

The third proportional to 50,712 and 109,200 is: 235,144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,712 : 109,200 = 109,200 : x
  2. Step 2: Convert to fraction form
    50,712/109,200 = 109,200/x
  3. Step 3: Cross multiply
    50,712x = 109,200 × 109,200
  4. Step 4: Simplify right side
    50,712x = 11,924,640,000
  5. Step 5: Solve for x
    x = 11,924,640,000/50,712
  6. Step 6: Final answer
    x = 235,144.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.