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Finding the Third Proportional to 113,136.50 and 167,747

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Solution

The third proportional to 113,136.50 and 167,747 is: 248,717.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,136.50 : 167,747 = 167,747 : x
  2. Step 2: Convert to fraction form
    113,136.50/167,747 = 167,747/x
  3. Step 3: Cross multiply
    113,136.50x = 167,747 × 167,747
  4. Step 4: Simplify right side
    113,136.50x = 28,139,056,009
  5. Step 5: Solve for x
    x = 28,139,056,009/113,136.50
  6. Step 6: Final answer
    x = 248,717.75

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.