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Finding the Third Proportional to 96,684 and 140,820

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Solution

The third proportional to 96,684 and 140,820 is: 205,103.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,684 : 140,820 = 140,820 : x
  2. Step 2: Convert to fraction form
    96,684/140,820 = 140,820/x
  3. Step 3: Cross multiply
    96,684x = 140,820 × 140,820
  4. Step 4: Simplify right side
    96,684x = 19,830,272,400
  5. Step 5: Solve for x
    x = 19,830,272,400/96,684
  6. Step 6: Final answer
    x = 205,103.97

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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.