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Finding the Third Proportional to 45,214 and 98,526

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Solution

The third proportional to 45,214 and 98,526 is: 214,698.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,214 : 98,526 = 98,526 : x
  2. Step 2: Convert to fraction form
    45,214/98,526 = 98,526/x
  3. Step 3: Cross multiply
    45,214x = 98,526 × 98,526
  4. Step 4: Simplify right side
    45,214x = 9,707,372,676
  5. Step 5: Solve for x
    x = 9,707,372,676/45,214
  6. Step 6: Final answer
    x = 214,698.38

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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.