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Finding the Third Proportional to 68,176.50 and 139,736.25

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Solution

The third proportional to 68,176.50 and 139,736.25 is: 286,406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,176.50 : 139,736.25 = 139,736.25 : x
  2. Step 2: Convert to fraction form
    68,176.50/139,736.25 = 139,736.25/x
  3. Step 3: Cross multiply
    68,176.50x = 139,736.25 × 139,736.25
  4. Step 4: Simplify right side
    68,176.50x = 19,526,219,564.06
  5. Step 5: Solve for x
    x = 19,526,219,564.06/68,176.50
  6. Step 6: Final answer
    x = 286,406.89

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.