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Finding the Third Proportional to 54,434.25 and 116,644.50

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Solution

The third proportional to 54,434.25 and 116,644.50 is: 249,951.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,434.25 : 116,644.50 = 116,644.50 : x
  2. Step 2: Convert to fraction form
    54,434.25/116,644.50 = 116,644.50/x
  3. Step 3: Cross multiply
    54,434.25x = 116,644.50 × 116,644.50
  4. Step 4: Simplify right side
    54,434.25x = 13,605,939,380.25
  5. Step 5: Solve for x
    x = 13,605,939,380.25/54,434.25
  6. Step 6: Final answer
    x = 249,951.81

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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.