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Finding the Third Proportional to 52,867.69 and 115,561.69

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Solution

The third proportional to 52,867.69 and 115,561.69 is: 252,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,867.69 : 115,561.69 = 115,561.69 : x
  2. Step 2: Convert to fraction form
    52,867.69/115,561.69 = 115,561.69/x
  3. Step 3: Cross multiply
    52,867.69x = 115,561.69 × 115,561.69
  4. Step 4: Simplify right side
    52,867.69x = 13,354,503,617.85
  5. Step 5: Solve for x
    x = 13,354,503,617.85/52,867.69
  6. Step 6: Final answer
    x = 252,602.38

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