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Finding the Third Proportional to 70,697.25 and 146,315.25

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Solution

The third proportional to 70,697.25 and 146,315.25 is: 302,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,697.25 : 146,315.25 = 146,315.25 : x
  2. Step 2: Convert to fraction form
    70,697.25/146,315.25 = 146,315.25/x
  3. Step 3: Cross multiply
    70,697.25x = 146,315.25 × 146,315.25
  4. Step 4: Simplify right side
    70,697.25x = 21,408,152,382.56
  5. Step 5: Solve for x
    x = 21,408,152,382.56/70,697.25
  6. Step 6: Final answer
    x = 302,814.50

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.