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Finding the Third Proportional to 93,058 and 132,918

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Solution

The third proportional to 93,058 and 132,918 is: 189,851.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,058 : 132,918 = 132,918 : x
  2. Step 2: Convert to fraction form
    93,058/132,918 = 132,918/x
  3. Step 3: Cross multiply
    93,058x = 132,918 × 132,918
  4. Step 4: Simplify right side
    93,058x = 17,667,194,724
  5. Step 5: Solve for x
    x = 17,667,194,724/93,058
  6. Step 6: Final answer
    x = 189,851.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.