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Finding the Third Proportional to 187,120 and 451,133

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Solution

The third proportional to 187,120 and 451,133 is: 1,087,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,120 : 451,133 = 451,133 : x
  2. Step 2: Convert to fraction form
    187,120/451,133 = 451,133/x
  3. Step 3: Cross multiply
    187,120x = 451,133 × 451,133
  4. Step 4: Simplify right side
    187,120x = 203,520,983,689
  5. Step 5: Solve for x
    x = 203,520,983,689/187,120
  6. Step 6: Final answer
    x = 1,087,649.55

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.