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Finding the Third Proportional to 143,254.13 and 193,861.13

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Solution

The third proportional to 143,254.13 and 193,861.13 is: 262,345.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,254.13 : 193,861.13 = 193,861.13 : x
  2. Step 2: Convert to fraction form
    143,254.13/193,861.13 = 193,861.13/x
  3. Step 3: Cross multiply
    143,254.13x = 193,861.13 × 193,861.13
  4. Step 4: Simplify right side
    143,254.13x = 37,582,135,786.27
  5. Step 5: Solve for x
    x = 37,582,135,786.27/143,254.13
  6. Step 6: Final answer
    x = 262,345.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.