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Finding the Third Proportional to 106,137.84 and 144,221.77

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Solution

The third proportional to 106,137.84 and 144,221.77 is: 195,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,137.84 : 144,221.77 = 144,221.77 : x
  2. Step 2: Convert to fraction form
    106,137.84/144,221.77 = 144,221.77/x
  3. Step 3: Cross multiply
    106,137.84x = 144,221.77 × 144,221.77
  4. Step 4: Simplify right side
    106,137.84x = 20,799,917,679.99
  5. Step 5: Solve for x
    x = 20,799,917,679.99/106,137.84
  6. Step 6: Final answer
    x = 195,970.80

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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.