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Finding the Third Proportional to 66,054 and 102,322

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Solution

The third proportional to 66,054 and 102,322 is: 158,503.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,054 : 102,322 = 102,322 : x
  2. Step 2: Convert to fraction form
    66,054/102,322 = 102,322/x
  3. Step 3: Cross multiply
    66,054x = 102,322 × 102,322
  4. Step 4: Simplify right side
    66,054x = 10,469,791,684
  5. Step 5: Solve for x
    x = 10,469,791,684/66,054
  6. Step 6: Final answer
    x = 158,503.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.