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Finding the Third Proportional to 117,460.13 and 178,944.19

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Solution

The third proportional to 117,460.13 and 178,944.19 is: 272,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,460.13 : 178,944.19 = 178,944.19 : x
  2. Step 2: Convert to fraction form
    117,460.13/178,944.19 = 178,944.19/x
  3. Step 3: Cross multiply
    117,460.13x = 178,944.19 × 178,944.19
  4. Step 4: Simplify right side
    117,460.13x = 32,021,022,240.04
  5. Step 5: Solve for x
    x = 32,021,022,240.04/117,460.13
  6. Step 6: Final answer
    x = 272,611.85

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.