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Finding the Third Proportional to 68,714 and 97,999

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Solution

The third proportional to 68,714 and 97,999 is: 139,764.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,714 : 97,999 = 97,999 : x
  2. Step 2: Convert to fraction form
    68,714/97,999 = 97,999/x
  3. Step 3: Cross multiply
    68,714x = 97,999 × 97,999
  4. Step 4: Simplify right side
    68,714x = 9,603,804,001
  5. Step 5: Solve for x
    x = 9,603,804,001/68,714
  6. Step 6: Final answer
    x = 139,764.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.