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Finding the Third Proportional to 42,322 and 80,804

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Solution

The third proportional to 42,322 and 80,804 is: 154,276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,322 : 80,804 = 80,804 : x
  2. Step 2: Convert to fraction form
    42,322/80,804 = 80,804/x
  3. Step 3: Cross multiply
    42,322x = 80,804 × 80,804
  4. Step 4: Simplify right side
    42,322x = 6,529,286,416
  5. Step 5: Solve for x
    x = 6,529,286,416/42,322
  6. Step 6: Final answer
    x = 154,276.41

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.