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Finding the Third Proportional to 118,961 and 163,123

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Solution

The third proportional to 118,961 and 163,123 is: 223,679.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,961 : 163,123 = 163,123 : x
  2. Step 2: Convert to fraction form
    118,961/163,123 = 163,123/x
  3. Step 3: Cross multiply
    118,961x = 163,123 × 163,123
  4. Step 4: Simplify right side
    118,961x = 26,609,113,129
  5. Step 5: Solve for x
    x = 26,609,113,129/118,961
  6. Step 6: Final answer
    x = 223,679.30

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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.