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Finding the Third Proportional to 137,634 and 201,138

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Solution

The third proportional to 137,634 and 201,138 is: 293,942.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,634 : 201,138 = 201,138 : x
  2. Step 2: Convert to fraction form
    137,634/201,138 = 201,138/x
  3. Step 3: Cross multiply
    137,634x = 201,138 × 201,138
  4. Step 4: Simplify right side
    137,634x = 40,456,495,044
  5. Step 5: Solve for x
    x = 40,456,495,044/137,634
  6. Step 6: Final answer
    x = 293,942.59

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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.