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Finding the Third Proportional to 106,323 and 144,462

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Solution

The third proportional to 106,323 and 144,462 is: 196,281.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,323 : 144,462 = 144,462 : x
  2. Step 2: Convert to fraction form
    106,323/144,462 = 144,462/x
  3. Step 3: Cross multiply
    106,323x = 144,462 × 144,462
  4. Step 4: Simplify right side
    106,323x = 20,869,269,444
  5. Step 5: Solve for x
    x = 20,869,269,444/106,323
  6. Step 6: Final answer
    x = 196,281.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.