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Finding the Third Proportional to 68,966 and 89,815.50

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Solution

The third proportional to 68,966 and 89,815.50 is: 116,968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,966 : 89,815.50 = 89,815.50 : x
  2. Step 2: Convert to fraction form
    68,966/89,815.50 = 89,815.50/x
  3. Step 3: Cross multiply
    68,966x = 89,815.50 × 89,815.50
  4. Step 4: Simplify right side
    68,966x = 8,066,824,040.25
  5. Step 5: Solve for x
    x = 8,066,824,040.25/68,966
  6. Step 6: Final answer
    x = 116,968.13

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.