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Finding the Third Proportional to 118,962 and 162,034

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Solution

The third proportional to 118,962 and 162,034 is: 220,700.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,962 : 162,034 = 162,034 : x
  2. Step 2: Convert to fraction form
    118,962/162,034 = 162,034/x
  3. Step 3: Cross multiply
    118,962x = 162,034 × 162,034
  4. Step 4: Simplify right side
    118,962x = 26,255,017,156
  5. Step 5: Solve for x
    x = 26,255,017,156/118,962
  6. Step 6: Final answer
    x = 220,700.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.