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Finding the Third Proportional to 41,051 and 88,515

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Solution

The third proportional to 41,051 and 88,515 is: 190,857.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,051 : 88,515 = 88,515 : x
  2. Step 2: Convert to fraction form
    41,051/88,515 = 88,515/x
  3. Step 3: Cross multiply
    41,051x = 88,515 × 88,515
  4. Step 4: Simplify right side
    41,051x = 7,834,905,225
  5. Step 5: Solve for x
    x = 7,834,905,225/41,051
  6. Step 6: Final answer
    x = 190,857.84

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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.