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Finding the Third Proportional to 45,336 and 98,205

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Solution

The third proportional to 45,336 and 98,205 is: 212,727.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,336 : 98,205 = 98,205 : x
  2. Step 2: Convert to fraction form
    45,336/98,205 = 98,205/x
  3. Step 3: Cross multiply
    45,336x = 98,205 × 98,205
  4. Step 4: Simplify right side
    45,336x = 9,644,222,025
  5. Step 5: Solve for x
    x = 9,644,222,025/45,336
  6. Step 6: Final answer
    x = 212,727.68

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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.