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Finding the Third Proportional to 96,410.25 and 144,524.25

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Solution

The third proportional to 96,410.25 and 144,524.25 is: 216,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,410.25 : 144,524.25 = 144,524.25 : x
  2. Step 2: Convert to fraction form
    96,410.25/144,524.25 = 144,524.25/x
  3. Step 3: Cross multiply
    96,410.25x = 144,524.25 × 144,524.25
  4. Step 4: Simplify right side
    96,410.25x = 20,887,258,838.06
  5. Step 5: Solve for x
    x = 20,887,258,838.06/96,410.25
  6. Step 6: Final answer
    x = 216,649.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.