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Finding the Third Proportional to 118,927 and 163,083

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Solution

The third proportional to 118,927 and 163,083 is: 223,633.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,927 : 163,083 = 163,083 : x
  2. Step 2: Convert to fraction form
    118,927/163,083 = 163,083/x
  3. Step 3: Cross multiply
    118,927x = 163,083 × 163,083
  4. Step 4: Simplify right side
    118,927x = 26,596,064,889
  5. Step 5: Solve for x
    x = 26,596,064,889/118,927
  6. Step 6: Final answer
    x = 223,633.53

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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.