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Finding the Third Proportional to 70,901 and 106,351.75

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Solution

The third proportional to 70,901 and 106,351.75 is: 159,528.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,901 : 106,351.75 = 106,351.75 : x
  2. Step 2: Convert to fraction form
    70,901/106,351.75 = 106,351.75/x
  3. Step 3: Cross multiply
    70,901x = 106,351.75 × 106,351.75
  4. Step 4: Simplify right side
    70,901x = 11,310,694,728.06
  5. Step 5: Solve for x
    x = 11,310,694,728.06/70,901
  6. Step 6: Final answer
    x = 159,528.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.