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Finding the Third Proportional to 116,659.13 and 174,181.50

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Solution

The third proportional to 116,659.13 and 174,181.50 is: 260,067.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,659.13 : 174,181.50 = 174,181.50 : x
  2. Step 2: Convert to fraction form
    116,659.13/174,181.50 = 174,181.50/x
  3. Step 3: Cross multiply
    116,659.13x = 174,181.50 × 174,181.50
  4. Step 4: Simplify right side
    116,659.13x = 30,339,194,942.25
  5. Step 5: Solve for x
    x = 30,339,194,942.25/116,659.13
  6. Step 6: Final answer
    x = 260,067.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.