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Finding the Third Proportional to 73,176.75 and 106,968.38

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Solution

The third proportional to 73,176.75 and 106,968.38 is: 156,364.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,176.75 : 106,968.38 = 106,968.38 : x
  2. Step 2: Convert to fraction form
    73,176.75/106,968.38 = 106,968.38/x
  3. Step 3: Cross multiply
    73,176.75x = 106,968.38 × 106,968.38
  4. Step 4: Simplify right side
    73,176.75x = 11,442,233,250.14
  5. Step 5: Solve for x
    x = 11,442,233,250.14/73,176.75
  6. Step 6: Final answer
    x = 156,364.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.