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Finding the Third Proportional to 107,967 and 158,791

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Solution

The third proportional to 107,967 and 158,791 is: 233,539.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,967 : 158,791 = 158,791 : x
  2. Step 2: Convert to fraction form
    107,967/158,791 = 158,791/x
  3. Step 3: Cross multiply
    107,967x = 158,791 × 158,791
  4. Step 4: Simplify right side
    107,967x = 25,214,581,681
  5. Step 5: Solve for x
    x = 25,214,581,681/107,967
  6. Step 6: Final answer
    x = 233,539.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.