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Finding the Third Proportional to 135,654.50 and 199,560

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Solution

The third proportional to 135,654.50 and 199,560 is: 293,570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,654.50 : 199,560 = 199,560 : x
  2. Step 2: Convert to fraction form
    135,654.50/199,560 = 199,560/x
  3. Step 3: Cross multiply
    135,654.50x = 199,560 × 199,560
  4. Step 4: Simplify right side
    135,654.50x = 39,824,193,600
  5. Step 5: Solve for x
    x = 39,824,193,600/135,654.50
  6. Step 6: Final answer
    x = 293,570.75

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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.