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Finding the Third Proportional to 53,619.75 and 114,599.25

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Solution

The third proportional to 53,619.75 and 114,599.25 is: 244,928.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,619.75 : 114,599.25 = 114,599.25 : x
  2. Step 2: Convert to fraction form
    53,619.75/114,599.25 = 114,599.25/x
  3. Step 3: Cross multiply
    53,619.75x = 114,599.25 × 114,599.25
  4. Step 4: Simplify right side
    53,619.75x = 13,132,988,100.56
  5. Step 5: Solve for x
    x = 13,132,988,100.56/53,619.75
  6. Step 6: Final answer
    x = 244,928.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.