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Finding the Third Proportional to 114,161.91 and 162,270.84

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Solution

The third proportional to 114,161.91 and 162,270.84 is: 230,653.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,161.91 : 162,270.84 = 162,270.84 : x
  2. Step 2: Convert to fraction form
    114,161.91/162,270.84 = 162,270.84/x
  3. Step 3: Cross multiply
    114,161.91x = 162,270.84 × 162,270.84
  4. Step 4: Simplify right side
    114,161.91x = 26,331,826,731.34
  5. Step 5: Solve for x
    x = 26,331,826,731.34/114,161.91
  6. Step 6: Final answer
    x = 230,653.36

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.