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Finding the Third Proportional to 41,058 and 88,525.50

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Solution

The third proportional to 41,058 and 88,525.50 is: 190,870.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,058 : 88,525.50 = 88,525.50 : x
  2. Step 2: Convert to fraction form
    41,058/88,525.50 = 88,525.50/x
  3. Step 3: Cross multiply
    41,058x = 88,525.50 × 88,525.50
  4. Step 4: Simplify right side
    41,058x = 7,836,764,150.25
  5. Step 5: Solve for x
    x = 7,836,764,150.25/41,058
  6. Step 6: Final answer
    x = 190,870.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.