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Finding the Third Proportional to 41,695 and 98,364

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Solution

The third proportional to 41,695 and 98,364 is: 232,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,695 : 98,364 = 98,364 : x
  2. Step 2: Convert to fraction form
    41,695/98,364 = 98,364/x
  3. Step 3: Cross multiply
    41,695x = 98,364 × 98,364
  4. Step 4: Simplify right side
    41,695x = 9,675,476,496
  5. Step 5: Solve for x
    x = 9,675,476,496/41,695
  6. Step 6: Final answer
    x = 232,053.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.