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Finding the Third Proportional to 68,682 and 98,031

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Solution

The third proportional to 68,682 and 98,031 is: 139,921.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,682 : 98,031 = 98,031 : x
  2. Step 2: Convert to fraction form
    68,682/98,031 = 98,031/x
  3. Step 3: Cross multiply
    68,682x = 98,031 × 98,031
  4. Step 4: Simplify right side
    68,682x = 9,610,076,961
  5. Step 5: Solve for x
    x = 9,610,076,961/68,682
  6. Step 6: Final answer
    x = 139,921.33

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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.