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Finding the Third Proportional to 53,715.66 and 113,834.53

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Solution

The third proportional to 53,715.66 and 113,834.53 is: 241,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,715.66 : 113,834.53 = 113,834.53 : x
  2. Step 2: Convert to fraction form
    53,715.66/113,834.53 = 113,834.53/x
  3. Step 3: Cross multiply
    53,715.66x = 113,834.53 × 113,834.53
  4. Step 4: Simplify right side
    53,715.66x = 12,958,300,504.91
  5. Step 5: Solve for x
    x = 12,958,300,504.91/53,715.66
  6. Step 6: Final answer
    x = 241,238.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.