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Finding the Third Proportional to 41,790 and 98,556

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Solution

The third proportional to 41,790 and 98,556 is: 232,430.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,790 : 98,556 = 98,556 : x
  2. Step 2: Convert to fraction form
    41,790/98,556 = 98,556/x
  3. Step 3: Cross multiply
    41,790x = 98,556 × 98,556
  4. Step 4: Simplify right side
    41,790x = 9,713,285,136
  5. Step 5: Solve for x
    x = 9,713,285,136/41,790
  6. Step 6: Final answer
    x = 232,430.85

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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.