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Finding the Third Proportional to 41,540 and 88,200

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Solution

The third proportional to 41,540 and 88,200 is: 187,271.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,540 : 88,200 = 88,200 : x
  2. Step 2: Convert to fraction form
    41,540/88,200 = 88,200/x
  3. Step 3: Cross multiply
    41,540x = 88,200 × 88,200
  4. Step 4: Simplify right side
    41,540x = 7,779,240,000
  5. Step 5: Solve for x
    x = 7,779,240,000/41,540
  6. Step 6: Final answer
    x = 187,271.06

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.