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Finding the Third Proportional to 41,428 and 88,661

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Solution

The third proportional to 41,428 and 88,661 is: 189,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,428 : 88,661 = 88,661 : x
  2. Step 2: Convert to fraction form
    41,428/88,661 = 88,661/x
  3. Step 3: Cross multiply
    41,428x = 88,661 × 88,661
  4. Step 4: Simplify right side
    41,428x = 7,860,772,921
  5. Step 5: Solve for x
    x = 7,860,772,921/41,428
  6. Step 6: Final answer
    x = 189,745.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.