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Finding the Third Proportional to 90,754 and 197,037

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Solution

The third proportional to 90,754 and 197,037 is: 427,789.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,754 : 197,037 = 197,037 : x
  2. Step 2: Convert to fraction form
    90,754/197,037 = 197,037/x
  3. Step 3: Cross multiply
    90,754x = 197,037 × 197,037
  4. Step 4: Simplify right side
    90,754x = 38,823,579,369
  5. Step 5: Solve for x
    x = 38,823,579,369/90,754
  6. Step 6: Final answer
    x = 427,789.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.