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Finding the Third Proportional to 106,984 and 160,902

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Solution

The third proportional to 106,984 and 160,902 is: 241,993.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,984 : 160,902 = 160,902 : x
  2. Step 2: Convert to fraction form
    106,984/160,902 = 160,902/x
  3. Step 3: Cross multiply
    106,984x = 160,902 × 160,902
  4. Step 4: Simplify right side
    106,984x = 25,889,453,604
  5. Step 5: Solve for x
    x = 25,889,453,604/106,984
  6. Step 6: Final answer
    x = 241,993.70

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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.