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Finding the Third Proportional to 51,282 and 107,746.88

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Solution

The third proportional to 51,282 and 107,746.88 is: 226,383.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,282 : 107,746.88 = 107,746.88 : x
  2. Step 2: Convert to fraction form
    51,282/107,746.88 = 107,746.88/x
  3. Step 3: Cross multiply
    51,282x = 107,746.88 × 107,746.88
  4. Step 4: Simplify right side
    51,282x = 11,609,389,072.27
  5. Step 5: Solve for x
    x = 11,609,389,072.27/51,282
  6. Step 6: Final answer
    x = 226,383.31

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.