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Finding the Third Proportional to 96,043 and 138,753.25

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Solution

The third proportional to 96,043 and 138,753.25 is: 200,456.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,043 : 138,753.25 = 138,753.25 : x
  2. Step 2: Convert to fraction form
    96,043/138,753.25 = 138,753.25/x
  3. Step 3: Cross multiply
    96,043x = 138,753.25 × 138,753.25
  4. Step 4: Simplify right side
    96,043x = 19,252,464,385.56
  5. Step 5: Solve for x
    x = 19,252,464,385.56/96,043
  6. Step 6: Final answer
    x = 200,456.72

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.