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Finding the Third Proportional to 67,145 and 94,120

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Solution

The third proportional to 67,145 and 94,120 is: 131,932.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,145 : 94,120 = 94,120 : x
  2. Step 2: Convert to fraction form
    67,145/94,120 = 94,120/x
  3. Step 3: Cross multiply
    67,145x = 94,120 × 94,120
  4. Step 4: Simplify right side
    67,145x = 8,858,574,400
  5. Step 5: Solve for x
    x = 8,858,574,400/67,145
  6. Step 6: Final answer
    x = 131,932.00

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.