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Finding the Third Proportional to 48,454 and 104,546

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Solution

The third proportional to 48,454 and 104,546 is: 225,572.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,454 : 104,546 = 104,546 : x
  2. Step 2: Convert to fraction form
    48,454/104,546 = 104,546/x
  3. Step 3: Cross multiply
    48,454x = 104,546 × 104,546
  4. Step 4: Simplify right side
    48,454x = 10,929,866,116
  5. Step 5: Solve for x
    x = 10,929,866,116/48,454
  6. Step 6: Final answer
    x = 225,572.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.