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Finding the Third Proportional to 135,454 and 199,253

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Solution

The third proportional to 135,454 and 199,253 is: 293,101.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,454 : 199,253 = 199,253 : x
  2. Step 2: Convert to fraction form
    135,454/199,253 = 199,253/x
  3. Step 3: Cross multiply
    135,454x = 199,253 × 199,253
  4. Step 4: Simplify right side
    135,454x = 39,701,758,009
  5. Step 5: Solve for x
    x = 39,701,758,009/135,454
  6. Step 6: Final answer
    x = 293,101.41

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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.