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Finding the Third Proportional to 68,420 and 96,006

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Solution

The third proportional to 68,420 and 96,006 is: 134,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,420 : 96,006 = 96,006 : x
  2. Step 2: Convert to fraction form
    68,420/96,006 = 96,006/x
  3. Step 3: Cross multiply
    68,420x = 96,006 × 96,006
  4. Step 4: Simplify right side
    68,420x = 9,217,152,036
  5. Step 5: Solve for x
    x = 9,217,152,036/68,420
  6. Step 6: Final answer
    x = 134,714.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.