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Finding the Third Proportional to 53,110.69 and 113,329.13

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Solution

The third proportional to 53,110.69 and 113,329.13 is: 241,824.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,110.69 : 113,329.13 = 113,329.13 : x
  2. Step 2: Convert to fraction form
    53,110.69/113,329.13 = 113,329.13/x
  3. Step 3: Cross multiply
    53,110.69x = 113,329.13 × 113,329.13
  4. Step 4: Simplify right side
    53,110.69x = 12,843,490,573.27
  5. Step 5: Solve for x
    x = 12,843,490,573.27/53,110.69
  6. Step 6: Final answer
    x = 241,824.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.