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Finding the Third Proportional to 67,563.50 and 105,985

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Solution

The third proportional to 67,563.50 and 105,985 is: 166,255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,563.50 : 105,985 = 105,985 : x
  2. Step 2: Convert to fraction form
    67,563.50/105,985 = 105,985/x
  3. Step 3: Cross multiply
    67,563.50x = 105,985 × 105,985
  4. Step 4: Simplify right side
    67,563.50x = 11,232,820,225
  5. Step 5: Solve for x
    x = 11,232,820,225/67,563.50
  6. Step 6: Final answer
    x = 166,255.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.