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Finding the Third Proportional to 113,136 and 167,747

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Solution

The third proportional to 113,136 and 167,747 is: 248,718.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,136 : 167,747 = 167,747 : x
  2. Step 2: Convert to fraction form
    113,136/167,747 = 167,747/x
  3. Step 3: Cross multiply
    113,136x = 167,747 × 167,747
  4. Step 4: Simplify right side
    113,136x = 28,139,056,009
  5. Step 5: Solve for x
    x = 28,139,056,009/113,136
  6. Step 6: Final answer
    x = 248,718.85

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Why These Related Problems?

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