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Finding the Third Proportional to 66,014 and 155,680

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Solution

The third proportional to 66,014 and 155,680 is: 367,138.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,014 : 155,680 = 155,680 : x
  2. Step 2: Convert to fraction form
    66,014/155,680 = 155,680/x
  3. Step 3: Cross multiply
    66,014x = 155,680 × 155,680
  4. Step 4: Simplify right side
    66,014x = 24,236,262,400
  5. Step 5: Solve for x
    x = 24,236,262,400/66,014
  6. Step 6: Final answer
    x = 367,138.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.