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Finding the Third Proportional to 96,085 and 140,424

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Solution

The third proportional to 96,085 and 140,424 is: 205,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,085 : 140,424 = 140,424 : x
  2. Step 2: Convert to fraction form
    96,085/140,424 = 140,424/x
  3. Step 3: Cross multiply
    96,085x = 140,424 × 140,424
  4. Step 4: Simplify right side
    96,085x = 19,718,899,776
  5. Step 5: Solve for x
    x = 19,718,899,776/96,085
  6. Step 6: Final answer
    x = 205,223.50

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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.