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Finding the Third Proportional to 42,414 and 84,823

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Solution

The third proportional to 42,414 and 84,823 is: 169,636.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,414 : 84,823 = 84,823 : x
  2. Step 2: Convert to fraction form
    42,414/84,823 = 84,823/x
  3. Step 3: Cross multiply
    42,414x = 84,823 × 84,823
  4. Step 4: Simplify right side
    42,414x = 7,194,941,329
  5. Step 5: Solve for x
    x = 7,194,941,329/42,414
  6. Step 6: Final answer
    x = 169,636.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.