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Finding the Third Proportional to 68,061 and 88,969.50

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Solution

The third proportional to 68,061 and 88,969.50 is: 116,301.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,061 : 88,969.50 = 88,969.50 : x
  2. Step 2: Convert to fraction form
    68,061/88,969.50 = 88,969.50/x
  3. Step 3: Cross multiply
    68,061x = 88,969.50 × 88,969.50
  4. Step 4: Simplify right side
    68,061x = 7,915,571,930.25
  5. Step 5: Solve for x
    x = 7,915,571,930.25/68,061
  6. Step 6: Final answer
    x = 116,301.14

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.