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Finding the Third Proportional to 73,464 and 98,676

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Solution

The third proportional to 73,464 and 98,676 is: 132,540.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,464 : 98,676 = 98,676 : x
  2. Step 2: Convert to fraction form
    73,464/98,676 = 98,676/x
  3. Step 3: Cross multiply
    73,464x = 98,676 × 98,676
  4. Step 4: Simplify right side
    73,464x = 9,736,952,976
  5. Step 5: Solve for x
    x = 9,736,952,976/73,464
  6. Step 6: Final answer
    x = 132,540.47

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.