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Finding the Third Proportional to 109,968 and 239,619

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Solution

The third proportional to 109,968 and 239,619 is: 522,127.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,968 : 239,619 = 239,619 : x
  2. Step 2: Convert to fraction form
    109,968/239,619 = 239,619/x
  3. Step 3: Cross multiply
    109,968x = 239,619 × 239,619
  4. Step 4: Simplify right side
    109,968x = 57,417,265,161
  5. Step 5: Solve for x
    x = 57,417,265,161/109,968
  6. Step 6: Final answer
    x = 522,127.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.