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Finding the Third Proportional to 92,954 and 134,031

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Solution

The third proportional to 92,954 and 134,031 is: 193,260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,954 : 134,031 = 134,031 : x
  2. Step 2: Convert to fraction form
    92,954/134,031 = 134,031/x
  3. Step 3: Cross multiply
    92,954x = 134,031 × 134,031
  4. Step 4: Simplify right side
    92,954x = 17,964,308,961
  5. Step 5: Solve for x
    x = 17,964,308,961/92,954
  6. Step 6: Final answer
    x = 193,260.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.