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Finding the Third Proportional to 68,664 and 98,003

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Solution

The third proportional to 68,664 and 98,003 is: 139,878.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,664 : 98,003 = 98,003 : x
  2. Step 2: Convert to fraction form
    68,664/98,003 = 98,003/x
  3. Step 3: Cross multiply
    68,664x = 98,003 × 98,003
  4. Step 4: Simplify right side
    68,664x = 9,604,588,009
  5. Step 5: Solve for x
    x = 9,604,588,009/68,664
  6. Step 6: Final answer
    x = 139,878.07

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