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Finding the Third Proportional to 35,230 and 76,994

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Solution

The third proportional to 35,230 and 76,994 is: 168,267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,230 : 76,994 = 76,994 : x
  2. Step 2: Convert to fraction form
    35,230/76,994 = 76,994/x
  3. Step 3: Cross multiply
    35,230x = 76,994 × 76,994
  4. Step 4: Simplify right side
    35,230x = 5,928,076,036
  5. Step 5: Solve for x
    x = 5,928,076,036/35,230
  6. Step 6: Final answer
    x = 168,267.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.