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Finding the Third Proportional to 40,977 and 88,515

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Solution

The third proportional to 40,977 and 88,515 is: 191,202.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,977 : 88,515 = 88,515 : x
  2. Step 2: Convert to fraction form
    40,977/88,515 = 88,515/x
  3. Step 3: Cross multiply
    40,977x = 88,515 × 88,515
  4. Step 4: Simplify right side
    40,977x = 7,834,905,225
  5. Step 5: Solve for x
    x = 7,834,905,225/40,977
  6. Step 6: Final answer
    x = 191,202.51

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Why These Related Problems?

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