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Finding the Third Proportional to 50,712 and 109,632

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Solution

The third proportional to 50,712 and 109,632 is: 237,008.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,712 : 109,632 = 109,632 : x
  2. Step 2: Convert to fraction form
    50,712/109,632 = 109,632/x
  3. Step 3: Cross multiply
    50,712x = 109,632 × 109,632
  4. Step 4: Simplify right side
    50,712x = 12,019,175,424
  5. Step 5: Solve for x
    x = 12,019,175,424/50,712
  6. Step 6: Final answer
    x = 237,008.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.