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Finding the Third Proportional to 96,397 and 144,028

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Solution

The third proportional to 96,397 and 144,028 is: 215,194.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,397 : 144,028 = 144,028 : x
  2. Step 2: Convert to fraction form
    96,397/144,028 = 144,028/x
  3. Step 3: Cross multiply
    96,397x = 144,028 × 144,028
  4. Step 4: Simplify right side
    96,397x = 20,744,064,784
  5. Step 5: Solve for x
    x = 20,744,064,784/96,397
  6. Step 6: Final answer
    x = 215,194.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.