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Finding the Third Proportional to 109,672 and 235,980

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Solution

The third proportional to 109,672 and 235,980 is: 507,755.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,672 : 235,980 = 235,980 : x
  2. Step 2: Convert to fraction form
    109,672/235,980 = 235,980/x
  3. Step 3: Cross multiply
    109,672x = 235,980 × 235,980
  4. Step 4: Simplify right side
    109,672x = 55,686,560,400
  5. Step 5: Solve for x
    x = 55,686,560,400/109,672
  6. Step 6: Final answer
    x = 507,755.49

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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.