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Finding the Third Proportional to 130,960.50 and 193,986

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Solution

The third proportional to 130,960.50 and 193,986 is: 287,342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,960.50 : 193,986 = 193,986 : x
  2. Step 2: Convert to fraction form
    130,960.50/193,986 = 193,986/x
  3. Step 3: Cross multiply
    130,960.50x = 193,986 × 193,986
  4. Step 4: Simplify right side
    130,960.50x = 37,630,568,196
  5. Step 5: Solve for x
    x = 37,630,568,196/130,960.50
  6. Step 6: Final answer
    x = 287,342.89

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.