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Finding the Third Proportional to 51,139 and 109,386

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Solution

The third proportional to 51,139 and 109,386 is: 233,975.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,139 : 109,386 = 109,386 : x
  2. Step 2: Convert to fraction form
    51,139/109,386 = 109,386/x
  3. Step 3: Cross multiply
    51,139x = 109,386 × 109,386
  4. Step 4: Simplify right side
    51,139x = 11,965,296,996
  5. Step 5: Solve for x
    x = 11,965,296,996/51,139
  6. Step 6: Final answer
    x = 233,975.97

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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.