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Finding the Third Proportional to 98,123 and 211,945

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Solution

The third proportional to 98,123 and 211,945 is: 457,799.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,123 : 211,945 = 211,945 : x
  2. Step 2: Convert to fraction form
    98,123/211,945 = 211,945/x
  3. Step 3: Cross multiply
    98,123x = 211,945 × 211,945
  4. Step 4: Simplify right side
    98,123x = 44,920,683,025
  5. Step 5: Solve for x
    x = 44,920,683,025/98,123
  6. Step 6: Final answer
    x = 457,799.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.