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Finding the Third Proportional to 65,141 and 135,466

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Solution

The third proportional to 65,141 and 135,466 is: 281,712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,141 : 135,466 = 135,466 : x
  2. Step 2: Convert to fraction form
    65,141/135,466 = 135,466/x
  3. Step 3: Cross multiply
    65,141x = 135,466 × 135,466
  4. Step 4: Simplify right side
    65,141x = 18,351,037,156
  5. Step 5: Solve for x
    x = 18,351,037,156/65,141
  6. Step 6: Final answer
    x = 281,712.55

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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.