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Finding the Third Proportional to 45,474 and 98,190

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Solution

The third proportional to 45,474 and 98,190 is: 212,017.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,474 : 98,190 = 98,190 : x
  2. Step 2: Convert to fraction form
    45,474/98,190 = 98,190/x
  3. Step 3: Cross multiply
    45,474x = 98,190 × 98,190
  4. Step 4: Simplify right side
    45,474x = 9,641,276,100
  5. Step 5: Solve for x
    x = 9,641,276,100/45,474
  6. Step 6: Final answer
    x = 212,017.33

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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.