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Finding the Third Proportional to 135,720.56 and 199,634.63

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Solution

The third proportional to 135,720.56 and 199,634.63 is: 293,647.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,720.56 : 199,634.63 = 199,634.63 : x
  2. Step 2: Convert to fraction form
    135,720.56/199,634.63 = 199,634.63/x
  3. Step 3: Cross multiply
    135,720.56x = 199,634.63 × 199,634.63
  4. Step 4: Simplify right side
    135,720.56x = 39,853,983,498.89
  5. Step 5: Solve for x
    x = 39,853,983,498.89/135,720.56
  6. Step 6: Final answer
    x = 293,647.35

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