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Finding the Third Proportional to 137,638 and 201,145

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Solution

The third proportional to 137,638 and 201,145 is: 293,954.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,638 : 201,145 = 201,145 : x
  2. Step 2: Convert to fraction form
    137,638/201,145 = 201,145/x
  3. Step 3: Cross multiply
    137,638x = 201,145 × 201,145
  4. Step 4: Simplify right side
    137,638x = 40,459,311,025
  5. Step 5: Solve for x
    x = 40,459,311,025/137,638
  6. Step 6: Final answer
    x = 293,954.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.