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Finding the Third Proportional to 45,198 and 98,724

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Solution

The third proportional to 45,198 and 98,724 is: 215,638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,198 : 98,724 = 98,724 : x
  2. Step 2: Convert to fraction form
    45,198/98,724 = 98,724/x
  3. Step 3: Cross multiply
    45,198x = 98,724 × 98,724
  4. Step 4: Simplify right side
    45,198x = 9,746,428,176
  5. Step 5: Solve for x
    x = 9,746,428,176/45,198
  6. Step 6: Final answer
    x = 215,638.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.