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Finding the Third Proportional to 67,585.50 and 105,201

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Solution

The third proportional to 67,585.50 and 105,201 is: 163,751.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,585.50 : 105,201 = 105,201 : x
  2. Step 2: Convert to fraction form
    67,585.50/105,201 = 105,201/x
  3. Step 3: Cross multiply
    67,585.50x = 105,201 × 105,201
  4. Step 4: Simplify right side
    67,585.50x = 11,067,250,401
  5. Step 5: Solve for x
    x = 11,067,250,401/67,585.50
  6. Step 6: Final answer
    x = 163,751.85

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.