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Finding the Third Proportional to 70,219.50 and 146,272.50

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Solution

The third proportional to 70,219.50 and 146,272.50 is: 304,696.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,219.50 : 146,272.50 = 146,272.50 : x
  2. Step 2: Convert to fraction form
    70,219.50/146,272.50 = 146,272.50/x
  3. Step 3: Cross multiply
    70,219.50x = 146,272.50 × 146,272.50
  4. Step 4: Simplify right side
    70,219.50x = 21,395,644,256.25
  5. Step 5: Solve for x
    x = 21,395,644,256.25/70,219.50
  6. Step 6: Final answer
    x = 304,696.62

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.