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Finding the Third Proportional to 118,948 and 163,105

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Solution

The third proportional to 118,948 and 163,105 is: 223,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,948 : 163,105 = 163,105 : x
  2. Step 2: Convert to fraction form
    118,948/163,105 = 163,105/x
  3. Step 3: Cross multiply
    118,948x = 163,105 × 163,105
  4. Step 4: Simplify right side
    118,948x = 26,603,241,025
  5. Step 5: Solve for x
    x = 26,603,241,025/118,948
  6. Step 6: Final answer
    x = 223,654.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.