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Finding the Third Proportional to 53,880.19 and 117,087.19

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Solution

The third proportional to 53,880.19 and 117,087.19 is: 254,442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,880.19 : 117,087.19 = 117,087.19 : x
  2. Step 2: Convert to fraction form
    53,880.19/117,087.19 = 117,087.19/x
  3. Step 3: Cross multiply
    53,880.19x = 117,087.19 × 117,087.19
  4. Step 4: Simplify right side
    53,880.19x = 13,709,409,476.66
  5. Step 5: Solve for x
    x = 13,709,409,476.66/53,880.19
  6. Step 6: Final answer
    x = 254,442.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.