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Finding the Third Proportional to 118,935 and 163,093.50

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Solution

The third proportional to 118,935 and 163,093.50 is: 223,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,935 : 163,093.50 = 163,093.50 : x
  2. Step 2: Convert to fraction form
    118,935/163,093.50 = 163,093.50/x
  3. Step 3: Cross multiply
    118,935x = 163,093.50 × 163,093.50
  4. Step 4: Simplify right side
    118,935x = 26,599,489,742.25
  5. Step 5: Solve for x
    x = 26,599,489,742.25/118,935
  6. Step 6: Final answer
    x = 223,647.28

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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.