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Finding the Third Proportional to 64,942.25 and 103,742.75

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Solution

The third proportional to 64,942.25 and 103,742.75 is: 165,725.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,942.25 : 103,742.75 = 103,742.75 : x
  2. Step 2: Convert to fraction form
    64,942.25/103,742.75 = 103,742.75/x
  3. Step 3: Cross multiply
    64,942.25x = 103,742.75 × 103,742.75
  4. Step 4: Simplify right side
    64,942.25x = 10,762,558,177.56
  5. Step 5: Solve for x
    x = 10,762,558,177.56/64,942.25
  6. Step 6: Final answer
    x = 165,725.06

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.