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Finding the Third Proportional to 135,451.88 and 199,250.06

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Solution

The third proportional to 135,451.88 and 199,250.06 is: 293,097.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,451.88 : 199,250.06 = 199,250.06 : x
  2. Step 2: Convert to fraction form
    135,451.88/199,250.06 = 199,250.06/x
  3. Step 3: Cross multiply
    135,451.88x = 199,250.06 × 199,250.06
  4. Step 4: Simplify right side
    135,451.88x = 39,700,587,406.25
  5. Step 5: Solve for x
    x = 39,700,587,406.25/135,451.88
  6. Step 6: Final answer
    x = 293,097.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.