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Finding the Third Proportional to 51,968.63 and 112,253.31

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Solution

The third proportional to 51,968.63 and 112,253.31 is: 242,469.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,968.63 : 112,253.31 = 112,253.31 : x
  2. Step 2: Convert to fraction form
    51,968.63/112,253.31 = 112,253.31/x
  3. Step 3: Cross multiply
    51,968.63x = 112,253.31 × 112,253.31
  4. Step 4: Simplify right side
    51,968.63x = 12,600,806,167.22
  5. Step 5: Solve for x
    x = 12,600,806,167.22/51,968.63
  6. Step 6: Final answer
    x = 242,469.49

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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.