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Finding the Third Proportional to 51,946.31 and 112,093.88

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Solution

The third proportional to 51,946.31 and 112,093.88 is: 241,885.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,946.31 : 112,093.88 = 112,093.88 : x
  2. Step 2: Convert to fraction form
    51,946.31/112,093.88 = 112,093.88/x
  3. Step 3: Cross multiply
    51,946.31x = 112,093.88 × 112,093.88
  4. Step 4: Simplify right side
    51,946.31x = 12,565,036,812.52
  5. Step 5: Solve for x
    x = 12,565,036,812.52/51,946.31
  6. Step 6: Final answer
    x = 241,885.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.