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Finding the Third Proportional to 45,608 and 98,240

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Solution

The third proportional to 45,608 and 98,240 is: 211,609.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,608 : 98,240 = 98,240 : x
  2. Step 2: Convert to fraction form
    45,608/98,240 = 98,240/x
  3. Step 3: Cross multiply
    45,608x = 98,240 × 98,240
  4. Step 4: Simplify right side
    45,608x = 9,651,097,600
  5. Step 5: Solve for x
    x = 9,651,097,600/45,608
  6. Step 6: Final answer
    x = 211,609.75

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