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Finding the Third Proportional to 48,706 and 104,810

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Solution

The third proportional to 48,706 and 104,810 is: 225,539.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,706 : 104,810 = 104,810 : x
  2. Step 2: Convert to fraction form
    48,706/104,810 = 104,810/x
  3. Step 3: Cross multiply
    48,706x = 104,810 × 104,810
  4. Step 4: Simplify right side
    48,706x = 10,985,136,100
  5. Step 5: Solve for x
    x = 10,985,136,100/48,706
  6. Step 6: Final answer
    x = 225,539.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.