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Finding the Third Proportional to 43,100 and 94,840

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Solution

The third proportional to 43,100 and 94,840 is: 208,692.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,100 : 94,840 = 94,840 : x
  2. Step 2: Convert to fraction form
    43,100/94,840 = 94,840/x
  3. Step 3: Cross multiply
    43,100x = 94,840 × 94,840
  4. Step 4: Simplify right side
    43,100x = 8,994,625,600
  5. Step 5: Solve for x
    x = 8,994,625,600/43,100
  6. Step 6: Final answer
    x = 208,692.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.