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Finding the Third Proportional to 96,005.25 and 140,535

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Solution

The third proportional to 96,005.25 and 140,535 is: 205,718.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,005.25 : 140,535 = 140,535 : x
  2. Step 2: Convert to fraction form
    96,005.25/140,535 = 140,535/x
  3. Step 3: Cross multiply
    96,005.25x = 140,535 × 140,535
  4. Step 4: Simplify right side
    96,005.25x = 19,750,086,225
  5. Step 5: Solve for x
    x = 19,750,086,225/96,005.25
  6. Step 6: Final answer
    x = 205,718.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.