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Finding the Third Proportional to 66,153.38 and 156,137.63

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Solution

The third proportional to 66,153.38 and 156,137.63 is: 368,521.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,153.38 : 156,137.63 = 156,137.63 : x
  2. Step 2: Convert to fraction form
    66,153.38/156,137.63 = 156,137.63/x
  3. Step 3: Cross multiply
    66,153.38x = 156,137.63 × 156,137.63
  4. Step 4: Simplify right side
    66,153.38x = 24,378,957,940.64
  5. Step 5: Solve for x
    x = 24,378,957,940.64/66,153.38
  6. Step 6: Final answer
    x = 368,521.76

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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.