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Finding the Third Proportional to 68,233.50 and 97,705.69

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Solution

The third proportional to 68,233.50 and 97,705.69 is: 139,907.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,233.50 : 97,705.69 = 97,705.69 : x
  2. Step 2: Convert to fraction form
    68,233.50/97,705.69 = 97,705.69/x
  3. Step 3: Cross multiply
    68,233.50x = 97,705.69 × 97,705.69
  4. Step 4: Simplify right side
    68,233.50x = 9,546,401,369.85
  5. Step 5: Solve for x
    x = 9,546,401,369.85/68,233.50
  6. Step 6: Final answer
    x = 139,907.84

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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.