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Finding the Third Proportional to 106,190 and 160,644

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Solution

The third proportional to 106,190 and 160,644 is: 243,021.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,190 : 160,644 = 160,644 : x
  2. Step 2: Convert to fraction form
    106,190/160,644 = 160,644/x
  3. Step 3: Cross multiply
    106,190x = 160,644 × 160,644
  4. Step 4: Simplify right side
    106,190x = 25,806,494,736
  5. Step 5: Solve for x
    x = 25,806,494,736/106,190
  6. Step 6: Final answer
    x = 243,021.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.