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Finding the Third Proportional to 68,991 and 101,215.50

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Solution

The third proportional to 68,991 and 101,215.50 is: 148,491.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,991 : 101,215.50 = 101,215.50 : x
  2. Step 2: Convert to fraction form
    68,991/101,215.50 = 101,215.50/x
  3. Step 3: Cross multiply
    68,991x = 101,215.50 × 101,215.50
  4. Step 4: Simplify right side
    68,991x = 10,244,577,440.25
  5. Step 5: Solve for x
    x = 10,244,577,440.25/68,991
  6. Step 6: Final answer
    x = 148,491.51

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.