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Finding the Third Proportional to 42,106 and 92,515

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Solution

The third proportional to 42,106 and 92,515 is: 203,273.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,106 : 92,515 = 92,515 : x
  2. Step 2: Convert to fraction form
    42,106/92,515 = 92,515/x
  3. Step 3: Cross multiply
    42,106x = 92,515 × 92,515
  4. Step 4: Simplify right side
    42,106x = 8,559,025,225
  5. Step 5: Solve for x
    x = 8,559,025,225/42,106
  6. Step 6: Final answer
    x = 203,273.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.