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Finding the Third Proportional to 49,903.50 and 68,374.50

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Solution

The third proportional to 49,903.50 and 68,374.50 is: 93,682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,903.50 : 68,374.50 = 68,374.50 : x
  2. Step 2: Convert to fraction form
    49,903.50/68,374.50 = 68,374.50/x
  3. Step 3: Cross multiply
    49,903.50x = 68,374.50 × 68,374.50
  4. Step 4: Simplify right side
    49,903.50x = 4,675,072,250.25
  5. Step 5: Solve for x
    x = 4,675,072,250.25/49,903.50
  6. Step 6: Final answer
    x = 93,682.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.