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Finding the Third Proportional to 64,995.75 and 135,094.50

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Solution

The third proportional to 64,995.75 and 135,094.50 is: 280,795.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,995.75 : 135,094.50 = 135,094.50 : x
  2. Step 2: Convert to fraction form
    64,995.75/135,094.50 = 135,094.50/x
  3. Step 3: Cross multiply
    64,995.75x = 135,094.50 × 135,094.50
  4. Step 4: Simplify right side
    64,995.75x = 18,250,523,930.25
  5. Step 5: Solve for x
    x = 18,250,523,930.25/64,995.75
  6. Step 6: Final answer
    x = 280,795.65

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Why These Related Problems?

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