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Finding the Third Proportional to 92,053 and 193,322

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Solution

The third proportional to 92,053 and 193,322 is: 405,998.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,053 : 193,322 = 193,322 : x
  2. Step 2: Convert to fraction form
    92,053/193,322 = 193,322/x
  3. Step 3: Cross multiply
    92,053x = 193,322 × 193,322
  4. Step 4: Simplify right side
    92,053x = 37,373,395,684
  5. Step 5: Solve for x
    x = 37,373,395,684/92,053
  6. Step 6: Final answer
    x = 405,998.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.