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Finding the Third Proportional to 65,192 and 135,280

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Solution

The third proportional to 65,192 and 135,280 is: 280,719.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,192 : 135,280 = 135,280 : x
  2. Step 2: Convert to fraction form
    65,192/135,280 = 135,280/x
  3. Step 3: Cross multiply
    65,192x = 135,280 × 135,280
  4. Step 4: Simplify right side
    65,192x = 18,300,678,400
  5. Step 5: Solve for x
    x = 18,300,678,400/65,192
  6. Step 6: Final answer
    x = 280,719.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.