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Finding the Third Proportional to 54,740.25 and 117,922.50

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Solution

The third proportional to 54,740.25 and 117,922.50 is: 254,030.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,740.25 : 117,922.50 = 117,922.50 : x
  2. Step 2: Convert to fraction form
    54,740.25/117,922.50 = 117,922.50/x
  3. Step 3: Cross multiply
    54,740.25x = 117,922.50 × 117,922.50
  4. Step 4: Simplify right side
    54,740.25x = 13,905,716,006.25
  5. Step 5: Solve for x
    x = 13,905,716,006.25/54,740.25
  6. Step 6: Final answer
    x = 254,030.92

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.