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Finding the Third Proportional to 117,811 and 168,277

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Solution

The third proportional to 117,811 and 168,277 is: 240,360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,811 : 168,277 = 168,277 : x
  2. Step 2: Convert to fraction form
    117,811/168,277 = 168,277/x
  3. Step 3: Cross multiply
    117,811x = 168,277 × 168,277
  4. Step 4: Simplify right side
    117,811x = 28,317,148,729
  5. Step 5: Solve for x
    x = 28,317,148,729/117,811
  6. Step 6: Final answer
    x = 240,360.82

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.