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Finding the Third Proportional to 48,090 and 104,290

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Solution

The third proportional to 48,090 and 104,290 is: 226,167.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,090 : 104,290 = 104,290 : x
  2. Step 2: Convert to fraction form
    48,090/104,290 = 104,290/x
  3. Step 3: Cross multiply
    48,090x = 104,290 × 104,290
  4. Step 4: Simplify right side
    48,090x = 10,876,404,100
  5. Step 5: Solve for x
    x = 10,876,404,100/48,090
  6. Step 6: Final answer
    x = 226,167.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.