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Finding the Third Proportional to 85,092 and 127,600

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Solution

The third proportional to 85,092 and 127,600 is: 191,343.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,092 : 127,600 = 127,600 : x
  2. Step 2: Convert to fraction form
    85,092/127,600 = 127,600/x
  3. Step 3: Cross multiply
    85,092x = 127,600 × 127,600
  4. Step 4: Simplify right side
    85,092x = 16,281,760,000
  5. Step 5: Solve for x
    x = 16,281,760,000/85,092
  6. Step 6: Final answer
    x = 191,343.02

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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.