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Finding the Third Proportional to 68,257 and 103,339.50

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Solution

The third proportional to 68,257 and 103,339.50 is: 156,453.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,257 : 103,339.50 = 103,339.50 : x
  2. Step 2: Convert to fraction form
    68,257/103,339.50 = 103,339.50/x
  3. Step 3: Cross multiply
    68,257x = 103,339.50 × 103,339.50
  4. Step 4: Simplify right side
    68,257x = 10,679,052,260.25
  5. Step 5: Solve for x
    x = 10,679,052,260.25/68,257
  6. Step 6: Final answer
    x = 156,453.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.