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Finding the Third Proportional to 128,144.53 and 192,068.72

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Solution

The third proportional to 128,144.53 and 192,068.72 is: 287,881.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,144.53 : 192,068.72 = 192,068.72 : x
  2. Step 2: Convert to fraction form
    128,144.53/192,068.72 = 192,068.72/x
  3. Step 3: Cross multiply
    128,144.53x = 192,068.72 × 192,068.72
  4. Step 4: Simplify right side
    128,144.53x = 36,890,392,722.27
  5. Step 5: Solve for x
    x = 36,890,392,722.27/128,144.53
  6. Step 6: Final answer
    x = 287,881.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.