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Finding the Third Proportional to 53,110 and 115,881.50

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Solution

The third proportional to 53,110 and 115,881.50 is: 252,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,110 : 115,881.50 = 115,881.50 : x
  2. Step 2: Convert to fraction form
    53,110/115,881.50 = 115,881.50/x
  3. Step 3: Cross multiply
    53,110x = 115,881.50 × 115,881.50
  4. Step 4: Simplify right side
    53,110x = 13,428,522,042.25
  5. Step 5: Solve for x
    x = 13,428,522,042.25/53,110
  6. Step 6: Final answer
    x = 252,843.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.