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Finding the Third Proportional to 45,757.69 and 68,392.69

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Solution

The third proportional to 45,757.69 and 68,392.69 is: 102,224.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,757.69 : 68,392.69 = 68,392.69 : x
  2. Step 2: Convert to fraction form
    45,757.69/68,392.69 = 68,392.69/x
  3. Step 3: Cross multiply
    45,757.69x = 68,392.69 × 68,392.69
  4. Step 4: Simplify right side
    45,757.69x = 4,677,559,703.47
  5. Step 5: Solve for x
    x = 4,677,559,703.47/45,757.69
  6. Step 6: Final answer
    x = 102,224.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.