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Finding the Third Proportional to 45,337 and 98,206

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Solution

The third proportional to 45,337 and 98,206 is: 212,727.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,337 : 98,206 = 98,206 : x
  2. Step 2: Convert to fraction form
    45,337/98,206 = 98,206/x
  3. Step 3: Cross multiply
    45,337x = 98,206 × 98,206
  4. Step 4: Simplify right side
    45,337x = 9,644,418,436
  5. Step 5: Solve for x
    x = 9,644,418,436/45,337
  6. Step 6: Final answer
    x = 212,727.32

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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.