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Finding the Third Proportional to 85,274 and 127,910

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Solution

The third proportional to 85,274 and 127,910 is: 191,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,274 : 127,910 = 127,910 : x
  2. Step 2: Convert to fraction form
    85,274/127,910 = 127,910/x
  3. Step 3: Cross multiply
    85,274x = 127,910 × 127,910
  4. Step 4: Simplify right side
    85,274x = 16,360,968,100
  5. Step 5: Solve for x
    x = 16,360,968,100/85,274
  6. Step 6: Final answer
    x = 191,863.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.