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Finding the Third Proportional to 70,963 and 98,668

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Solution

The third proportional to 70,963 and 98,668 is: 137,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,963 : 98,668 = 98,668 : x
  2. Step 2: Convert to fraction form
    70,963/98,668 = 98,668/x
  3. Step 3: Cross multiply
    70,963x = 98,668 × 98,668
  4. Step 4: Simplify right side
    70,963x = 9,735,374,224
  5. Step 5: Solve for x
    x = 9,735,374,224/70,963
  6. Step 6: Final answer
    x = 137,189.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.