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Finding the Third Proportional to 110,434 and 147,135

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Solution

The third proportional to 110,434 and 147,135 is: 196,033.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,434 : 147,135 = 147,135 : x
  2. Step 2: Convert to fraction form
    110,434/147,135 = 147,135/x
  3. Step 3: Cross multiply
    110,434x = 147,135 × 147,135
  4. Step 4: Simplify right side
    110,434x = 21,648,708,225
  5. Step 5: Solve for x
    x = 21,648,708,225/110,434
  6. Step 6: Final answer
    x = 196,033.00

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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.