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Finding the Third Proportional to 51,394.50 and 112,129.31

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Solution

The third proportional to 51,394.50 and 112,129.31 is: 244,636.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,394.50 : 112,129.31 = 112,129.31 : x
  2. Step 2: Convert to fraction form
    51,394.50/112,129.31 = 112,129.31/x
  3. Step 3: Cross multiply
    51,394.50x = 112,129.31 × 112,129.31
  4. Step 4: Simplify right side
    51,394.50x = 12,572,982,721.72
  5. Step 5: Solve for x
    x = 12,572,982,721.72/51,394.50
  6. Step 6: Final answer
    x = 244,636.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.