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Finding the Third Proportional to 84,946 and 102,015

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Solution

The third proportional to 84,946 and 102,015 is: 122,513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,946 : 102,015 = 102,015 : x
  2. Step 2: Convert to fraction form
    84,946/102,015 = 102,015/x
  3. Step 3: Cross multiply
    84,946x = 102,015 × 102,015
  4. Step 4: Simplify right side
    84,946x = 10,407,060,225
  5. Step 5: Solve for x
    x = 10,407,060,225/84,946
  6. Step 6: Final answer
    x = 122,513.83

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.