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Finding the Third Proportional to 70,892 and 96,318

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Solution

The third proportional to 70,892 and 96,318 is: 130,863.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,892 : 96,318 = 96,318 : x
  2. Step 2: Convert to fraction form
    70,892/96,318 = 96,318/x
  3. Step 3: Cross multiply
    70,892x = 96,318 × 96,318
  4. Step 4: Simplify right side
    70,892x = 9,277,157,124
  5. Step 5: Solve for x
    x = 9,277,157,124/70,892
  6. Step 6: Final answer
    x = 130,863.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.