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Finding the Third Proportional to 63,165 and 135,082

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Solution

The third proportional to 63,165 and 135,082 is: 288,880.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,165 : 135,082 = 135,082 : x
  2. Step 2: Convert to fraction form
    63,165/135,082 = 135,082/x
  3. Step 3: Cross multiply
    63,165x = 135,082 × 135,082
  4. Step 4: Simplify right side
    63,165x = 18,247,146,724
  5. Step 5: Solve for x
    x = 18,247,146,724/63,165
  6. Step 6: Final answer
    x = 288,880.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.