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Finding the Third Proportional to 73,652.06 and 158,203.69

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Solution

The third proportional to 73,652.06 and 158,203.69 is: 339,819.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,652.06 : 158,203.69 = 158,203.69 : x
  2. Step 2: Convert to fraction form
    73,652.06/158,203.69 = 158,203.69/x
  3. Step 3: Cross multiply
    73,652.06x = 158,203.69 × 158,203.69
  4. Step 4: Simplify right side
    73,652.06x = 25,028,406,738.60
  5. Step 5: Solve for x
    x = 25,028,406,738.60/73,652.06
  6. Step 6: Final answer
    x = 339,819.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.