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Finding the Third Proportional to 93,982 and 140,943

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Solution

The third proportional to 93,982 and 140,943 is: 211,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,982 : 140,943 = 140,943 : x
  2. Step 2: Convert to fraction form
    93,982/140,943 = 140,943/x
  3. Step 3: Cross multiply
    93,982x = 140,943 × 140,943
  4. Step 4: Simplify right side
    93,982x = 19,864,929,249
  5. Step 5: Solve for x
    x = 19,864,929,249/93,982
  6. Step 6: Final answer
    x = 211,369.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.