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Finding the Third Proportional to 45,149 and 98,683

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Solution

The third proportional to 45,149 and 98,683 is: 215,693.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,149 : 98,683 = 98,683 : x
  2. Step 2: Convert to fraction form
    45,149/98,683 = 98,683/x
  3. Step 3: Cross multiply
    45,149x = 98,683 × 98,683
  4. Step 4: Simplify right side
    45,149x = 9,738,334,489
  5. Step 5: Solve for x
    x = 9,738,334,489/45,149
  6. Step 6: Final answer
    x = 215,693.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.