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Finding the Third Proportional to 106,309 and 159,944

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Solution

The third proportional to 106,309 and 159,944 is: 240,638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,309 : 159,944 = 159,944 : x
  2. Step 2: Convert to fraction form
    106,309/159,944 = 159,944/x
  3. Step 3: Cross multiply
    106,309x = 159,944 × 159,944
  4. Step 4: Simplify right side
    106,309x = 25,582,083,136
  5. Step 5: Solve for x
    x = 25,582,083,136/106,309
  6. Step 6: Final answer
    x = 240,638.92

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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.