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Finding the Third Proportional to 106,937 and 143,103

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Solution

The third proportional to 106,937 and 143,103 is: 191,500.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,937 : 143,103 = 143,103 : x
  2. Step 2: Convert to fraction form
    106,937/143,103 = 143,103/x
  3. Step 3: Cross multiply
    106,937x = 143,103 × 143,103
  4. Step 4: Simplify right side
    106,937x = 20,478,468,609
  5. Step 5: Solve for x
    x = 20,478,468,609/106,937
  6. Step 6: Final answer
    x = 191,500.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.