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Finding the Third Proportional to 93,346 and 140,694

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Solution

The third proportional to 93,346 and 140,694 is: 212,058.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,346 : 140,694 = 140,694 : x
  2. Step 2: Convert to fraction form
    93,346/140,694 = 140,694/x
  3. Step 3: Cross multiply
    93,346x = 140,694 × 140,694
  4. Step 4: Simplify right side
    93,346x = 19,794,801,636
  5. Step 5: Solve for x
    x = 19,794,801,636/93,346
  6. Step 6: Final answer
    x = 212,058.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.