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Finding the Third Proportional to 63,268 and 98,736

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Solution

The third proportional to 63,268 and 98,736 is: 154,087.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,268 : 98,736 = 98,736 : x
  2. Step 2: Convert to fraction form
    63,268/98,736 = 98,736/x
  3. Step 3: Cross multiply
    63,268x = 98,736 × 98,736
  4. Step 4: Simplify right side
    63,268x = 9,748,797,696
  5. Step 5: Solve for x
    x = 9,748,797,696/63,268
  6. Step 6: Final answer
    x = 154,087.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.