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Finding the Third Proportional to 68,546 and 148,676

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Solution

The third proportional to 68,546 and 148,676 is: 322,477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,546 : 148,676 = 148,676 : x
  2. Step 2: Convert to fraction form
    68,546/148,676 = 148,676/x
  3. Step 3: Cross multiply
    68,546x = 148,676 × 148,676
  4. Step 4: Simplify right side
    68,546x = 22,104,552,976
  5. Step 5: Solve for x
    x = 22,104,552,976/68,546
  6. Step 6: Final answer
    x = 322,477.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.