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Finding the Third Proportional to 106,326 and 163,215

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Solution

The third proportional to 106,326 and 163,215 is: 250,542.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,326 : 163,215 = 163,215 : x
  2. Step 2: Convert to fraction form
    106,326/163,215 = 163,215/x
  3. Step 3: Cross multiply
    106,326x = 163,215 × 163,215
  4. Step 4: Simplify right side
    106,326x = 26,639,136,225
  5. Step 5: Solve for x
    x = 26,639,136,225/106,326
  6. Step 6: Final answer
    x = 250,542.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.