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Finding the Third Proportional to 51,582.94 and 113,006.81

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Solution

The third proportional to 51,582.94 and 113,006.81 is: 247,572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,582.94 : 113,006.81 = 113,006.81 : x
  2. Step 2: Convert to fraction form
    51,582.94/113,006.81 = 113,006.81/x
  3. Step 3: Cross multiply
    51,582.94x = 113,006.81 × 113,006.81
  4. Step 4: Simplify right side
    51,582.94x = 12,770,539,671.41
  5. Step 5: Solve for x
    x = 12,770,539,671.41/51,582.94
  6. Step 6: Final answer
    x = 247,572.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.