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Finding the Third Proportional to 66,399.75 and 103,533.19

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Solution

The third proportional to 66,399.75 and 103,533.19 is: 161,433.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,399.75 : 103,533.19 = 103,533.19 : x
  2. Step 2: Convert to fraction form
    66,399.75/103,533.19 = 103,533.19/x
  3. Step 3: Cross multiply
    66,399.75x = 103,533.19 × 103,533.19
  4. Step 4: Simplify right side
    66,399.75x = 10,719,120,913.91
  5. Step 5: Solve for x
    x = 10,719,120,913.91/66,399.75
  6. Step 6: Final answer
    x = 161,433.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.