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Finding the Third Proportional to 51,513 and 108,653.25

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Solution

The third proportional to 51,513 and 108,653.25 is: 229,175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,513 : 108,653.25 = 108,653.25 : x
  2. Step 2: Convert to fraction form
    51,513/108,653.25 = 108,653.25/x
  3. Step 3: Cross multiply
    51,513x = 108,653.25 × 108,653.25
  4. Step 4: Simplify right side
    51,513x = 11,805,528,735.56
  5. Step 5: Solve for x
    x = 11,805,528,735.56/51,513
  6. Step 6: Final answer
    x = 229,175.72

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.