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Finding the Third Proportional to 45,582 and 94,797

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Solution

The third proportional to 45,582 and 94,797 is: 197,149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,582 : 94,797 = 94,797 : x
  2. Step 2: Convert to fraction form
    45,582/94,797 = 94,797/x
  3. Step 3: Cross multiply
    45,582x = 94,797 × 94,797
  4. Step 4: Simplify right side
    45,582x = 8,986,471,209
  5. Step 5: Solve for x
    x = 8,986,471,209/45,582
  6. Step 6: Final answer
    x = 197,149.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.