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Finding the Third Proportional to 54,176.34 and 79,696.41

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Solution

The third proportional to 54,176.34 and 79,696.41 is: 117,237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,176.34 : 79,696.41 = 79,696.41 : x
  2. Step 2: Convert to fraction form
    54,176.34/79,696.41 = 79,696.41/x
  3. Step 3: Cross multiply
    54,176.34x = 79,696.41 × 79,696.41
  4. Step 4: Simplify right side
    54,176.34x = 6,351,517,169.17
  5. Step 5: Solve for x
    x = 6,351,517,169.17/54,176.34
  6. Step 6: Final answer
    x = 117,237.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.