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Finding the Third Proportional to 51,726.94 and 79,094.81

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Solution

The third proportional to 51,726.94 and 79,094.81 is: 120,942.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,726.94 : 79,094.81 = 79,094.81 : x
  2. Step 2: Convert to fraction form
    51,726.94/79,094.81 = 79,094.81/x
  3. Step 3: Cross multiply
    51,726.94x = 79,094.81 × 79,094.81
  4. Step 4: Simplify right side
    51,726.94x = 6,255,989,364.41
  5. Step 5: Solve for x
    x = 6,255,989,364.41/51,726.94
  6. Step 6: Final answer
    x = 120,942.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.