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Finding the Third Proportional to 106,016 and 143,472

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Solution

The third proportional to 106,016 and 143,472 is: 194,161.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,016 : 143,472 = 143,472 : x
  2. Step 2: Convert to fraction form
    106,016/143,472 = 143,472/x
  3. Step 3: Cross multiply
    106,016x = 143,472 × 143,472
  4. Step 4: Simplify right side
    106,016x = 20,584,214,784
  5. Step 5: Solve for x
    x = 20,584,214,784/106,016
  6. Step 6: Final answer
    x = 194,161.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.