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Finding the Third Proportional to 66,205.50 and 85,005.75

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Solution

The third proportional to 66,205.50 and 85,005.75 is: 109,144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,205.50 : 85,005.75 = 85,005.75 : x
  2. Step 2: Convert to fraction form
    66,205.50/85,005.75 = 85,005.75/x
  3. Step 3: Cross multiply
    66,205.50x = 85,005.75 × 85,005.75
  4. Step 4: Simplify right side
    66,205.50x = 7,225,977,533.06
  5. Step 5: Solve for x
    x = 7,225,977,533.06/66,205.50
  6. Step 6: Final answer
    x = 109,144.67

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.