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Finding the Third Proportional to 41,125.50 and 85,486.50

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Solution

The third proportional to 41,125.50 and 85,486.50 is: 177,698.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,125.50 : 85,486.50 = 85,486.50 : x
  2. Step 2: Convert to fraction form
    41,125.50/85,486.50 = 85,486.50/x
  3. Step 3: Cross multiply
    41,125.50x = 85,486.50 × 85,486.50
  4. Step 4: Simplify right side
    41,125.50x = 7,307,941,682.25
  5. Step 5: Solve for x
    x = 7,307,941,682.25/41,125.50
  6. Step 6: Final answer
    x = 177,698.55

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.