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Finding the Third Proportional to 106,567 and 159,118

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Solution

The third proportional to 106,567 and 159,118 is: 237,583.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,567 : 159,118 = 159,118 : x
  2. Step 2: Convert to fraction form
    106,567/159,118 = 159,118/x
  3. Step 3: Cross multiply
    106,567x = 159,118 × 159,118
  4. Step 4: Simplify right side
    106,567x = 25,318,537,924
  5. Step 5: Solve for x
    x = 25,318,537,924/106,567
  6. Step 6: Final answer
    x = 237,583.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.