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Finding the Third Proportional to 68,074.50 and 147,956.25

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Solution

The third proportional to 68,074.50 and 147,956.25 is: 321,574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,074.50 : 147,956.25 = 147,956.25 : x
  2. Step 2: Convert to fraction form
    68,074.50/147,956.25 = 147,956.25/x
  3. Step 3: Cross multiply
    68,074.50x = 147,956.25 × 147,956.25
  4. Step 4: Simplify right side
    68,074.50x = 21,891,051,914.06
  5. Step 5: Solve for x
    x = 21,891,051,914.06/68,074.50
  6. Step 6: Final answer
    x = 321,574.92

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.