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Finding the Third Proportional to 110,431 and 147,130

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Solution

The third proportional to 110,431 and 147,130 is: 196,025.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,431 : 147,130 = 147,130 : x
  2. Step 2: Convert to fraction form
    110,431/147,130 = 147,130/x
  3. Step 3: Cross multiply
    110,431x = 147,130 × 147,130
  4. Step 4: Simplify right side
    110,431x = 21,647,236,900
  5. Step 5: Solve for x
    x = 21,647,236,900/110,431
  6. Step 6: Final answer
    x = 196,025.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.