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Finding the Third Proportional to 72,198 and 98,358

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Solution

The third proportional to 72,198 and 98,358 is: 133,996.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,198 : 98,358 = 98,358 : x
  2. Step 2: Convert to fraction form
    72,198/98,358 = 98,358/x
  3. Step 3: Cross multiply
    72,198x = 98,358 × 98,358
  4. Step 4: Simplify right side
    72,198x = 9,674,296,164
  5. Step 5: Solve for x
    x = 9,674,296,164/72,198
  6. Step 6: Final answer
    x = 133,996.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.