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Finding the Third Proportional to 53,268 and 114,841.50

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Solution

The third proportional to 53,268 and 114,841.50 is: 247,588.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,268 : 114,841.50 = 114,841.50 : x
  2. Step 2: Convert to fraction form
    53,268/114,841.50 = 114,841.50/x
  3. Step 3: Cross multiply
    53,268x = 114,841.50 × 114,841.50
  4. Step 4: Simplify right side
    53,268x = 13,188,570,122.25
  5. Step 5: Solve for x
    x = 13,188,570,122.25/53,268
  6. Step 6: Final answer
    x = 247,588.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.