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Finding the Third Proportional to 70,966 and 98,673

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Solution

The third proportional to 70,966 and 98,673 is: 137,197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,966 : 98,673 = 98,673 : x
  2. Step 2: Convert to fraction form
    70,966/98,673 = 98,673/x
  3. Step 3: Cross multiply
    70,966x = 98,673 × 98,673
  4. Step 4: Simplify right side
    70,966x = 9,736,360,929
  5. Step 5: Solve for x
    x = 9,736,360,929/70,966
  6. Step 6: Final answer
    x = 137,197.54

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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.