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Finding the Third Proportional to 135,501 and 201,292

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Solution

The third proportional to 135,501 and 201,292 is: 299,027.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,501 : 201,292 = 201,292 : x
  2. Step 2: Convert to fraction form
    135,501/201,292 = 201,292/x
  3. Step 3: Cross multiply
    135,501x = 201,292 × 201,292
  4. Step 4: Simplify right side
    135,501x = 40,518,469,264
  5. Step 5: Solve for x
    x = 40,518,469,264/135,501
  6. Step 6: Final answer
    x = 299,027.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.