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Finding the Third Proportional to 91,058 and 136,851

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Solution

The third proportional to 91,058 and 136,851 is: 205,673.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,058 : 136,851 = 136,851 : x
  2. Step 2: Convert to fraction form
    91,058/136,851 = 136,851/x
  3. Step 3: Cross multiply
    91,058x = 136,851 × 136,851
  4. Step 4: Simplify right side
    91,058x = 18,728,196,201
  5. Step 5: Solve for x
    x = 18,728,196,201/91,058
  6. Step 6: Final answer
    x = 205,673.27

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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.