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Finding the Third Proportional to 66,038 and 134,374

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Solution

The third proportional to 66,038 and 134,374 is: 273,423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,038 : 134,374 = 134,374 : x
  2. Step 2: Convert to fraction form
    66,038/134,374 = 134,374/x
  3. Step 3: Cross multiply
    66,038x = 134,374 × 134,374
  4. Step 4: Simplify right side
    66,038x = 18,056,371,876
  5. Step 5: Solve for x
    x = 18,056,371,876/66,038
  6. Step 6: Final answer
    x = 273,423.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.