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Finding the Third Proportional to 106,089.75 and 144,166.50

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Solution

The third proportional to 106,089.75 and 144,166.50 is: 195,909.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,089.75 : 144,166.50 = 144,166.50 : x
  2. Step 2: Convert to fraction form
    106,089.75/144,166.50 = 144,166.50/x
  3. Step 3: Cross multiply
    106,089.75x = 144,166.50 × 144,166.50
  4. Step 4: Simplify right side
    106,089.75x = 20,783,979,722.25
  5. Step 5: Solve for x
    x = 20,783,979,722.25/106,089.75
  6. Step 6: Final answer
    x = 195,909.40

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