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Finding the Third Proportional to 66,529.50 and 73,090.50

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Solution

The third proportional to 66,529.50 and 73,090.50 is: 80,298.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,529.50 : 73,090.50 = 73,090.50 : x
  2. Step 2: Convert to fraction form
    66,529.50/73,090.50 = 73,090.50/x
  3. Step 3: Cross multiply
    66,529.50x = 73,090.50 × 73,090.50
  4. Step 4: Simplify right side
    66,529.50x = 5,342,221,190.25
  5. Step 5: Solve for x
    x = 5,342,221,190.25/66,529.50
  6. Step 6: Final answer
    x = 80,298.53

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.