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Finding the Third Proportional to 52,813.69 and 117,434.81

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Solution

The third proportional to 52,813.69 and 117,434.81 is: 261,124.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,813.69 : 117,434.81 = 117,434.81 : x
  2. Step 2: Convert to fraction form
    52,813.69/117,434.81 = 117,434.81/x
  3. Step 3: Cross multiply
    52,813.69x = 117,434.81 × 117,434.81
  4. Step 4: Simplify right side
    52,813.69x = 13,790,935,186.91
  5. Step 5: Solve for x
    x = 13,790,935,186.91/52,813.69
  6. Step 6: Final answer
    x = 261,124.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.