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Finding the Third Proportional to 106,969 and 160,119

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Solution

The third proportional to 106,969 and 160,119 is: 239,677.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,969 : 160,119 = 160,119 : x
  2. Step 2: Convert to fraction form
    106,969/160,119 = 160,119/x
  3. Step 3: Cross multiply
    106,969x = 160,119 × 160,119
  4. Step 4: Simplify right side
    106,969x = 25,638,094,161
  5. Step 5: Solve for x
    x = 25,638,094,161/106,969
  6. Step 6: Final answer
    x = 239,677.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.