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Finding the Third Proportional to 106,567 and 153,957

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Solution

The third proportional to 106,567 and 153,957 is: 222,421.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,567 : 153,957 = 153,957 : x
  2. Step 2: Convert to fraction form
    106,567/153,957 = 153,957/x
  3. Step 3: Cross multiply
    106,567x = 153,957 × 153,957
  4. Step 4: Simplify right side
    106,567x = 23,702,757,849
  5. Step 5: Solve for x
    x = 23,702,757,849/106,567
  6. Step 6: Final answer
    x = 222,421.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.