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Finding the Third Proportional to 65,971 and 134,246

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Solution

The third proportional to 65,971 and 134,246 is: 273,180.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,971 : 134,246 = 134,246 : x
  2. Step 2: Convert to fraction form
    65,971/134,246 = 134,246/x
  3. Step 3: Cross multiply
    65,971x = 134,246 × 134,246
  4. Step 4: Simplify right side
    65,971x = 18,021,988,516
  5. Step 5: Solve for x
    x = 18,021,988,516/65,971
  6. Step 6: Final answer
    x = 273,180.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.