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Finding the Third Proportional to 49,473.28 and 116,672.06

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Solution

The third proportional to 49,473.28 and 116,672.06 is: 275,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,473.28 : 116,672.06 = 116,672.06 : x
  2. Step 2: Convert to fraction form
    49,473.28/116,672.06 = 116,672.06/x
  3. Step 3: Cross multiply
    49,473.28x = 116,672.06 × 116,672.06
  4. Step 4: Simplify right side
    49,473.28x = 13,612,370,168.00
  5. Step 5: Solve for x
    x = 13,612,370,168.00/49,473.28
  6. Step 6: Final answer
    x = 275,145.89

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.