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Finding the Third Proportional to 67,405.50 and 145,179

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Solution

The third proportional to 67,405.50 and 145,179 is: 312,688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,405.50 : 145,179 = 145,179 : x
  2. Step 2: Convert to fraction form
    67,405.50/145,179 = 145,179/x
  3. Step 3: Cross multiply
    67,405.50x = 145,179 × 145,179
  4. Step 4: Simplify right side
    67,405.50x = 21,076,942,041
  5. Step 5: Solve for x
    x = 21,076,942,041/67,405.50
  6. Step 6: Final answer
    x = 312,688.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.