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Finding the Third Proportional to 106,810 and 158,567

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Solution

The third proportional to 106,810 and 158,567 is: 235,403.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,810 : 158,567 = 158,567 : x
  2. Step 2: Convert to fraction form
    106,810/158,567 = 158,567/x
  3. Step 3: Cross multiply
    106,810x = 158,567 × 158,567
  4. Step 4: Simplify right side
    106,810x = 25,143,493,489
  5. Step 5: Solve for x
    x = 25,143,493,489/106,810
  6. Step 6: Final answer
    x = 235,403.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.