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Finding the Third Proportional to 96,719 and 147,857

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Solution

The third proportional to 96,719 and 147,857 is: 226,033.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,719 : 147,857 = 147,857 : x
  2. Step 2: Convert to fraction form
    96,719/147,857 = 147,857/x
  3. Step 3: Cross multiply
    96,719x = 147,857 × 147,857
  4. Step 4: Simplify right side
    96,719x = 21,861,692,449
  5. Step 5: Solve for x
    x = 21,861,692,449/96,719
  6. Step 6: Final answer
    x = 226,033.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.