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Finding the Third Proportional to 71,168.63 and 106,707.38

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Solution

The third proportional to 71,168.63 and 106,707.38 is: 159,992.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,168.63 : 106,707.38 = 106,707.38 : x
  2. Step 2: Convert to fraction form
    71,168.63/106,707.38 = 106,707.38/x
  3. Step 3: Cross multiply
    71,168.63x = 106,707.38 × 106,707.38
  4. Step 4: Simplify right side
    71,168.63x = 11,386,463,879.39
  5. Step 5: Solve for x
    x = 11,386,463,879.39/71,168.63
  6. Step 6: Final answer
    x = 159,992.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.