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Finding the Third Proportional to 85,599 and 127,926

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Solution

The third proportional to 85,599 and 127,926 is: 191,182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,599 : 127,926 = 127,926 : x
  2. Step 2: Convert to fraction form
    85,599/127,926 = 127,926/x
  3. Step 3: Cross multiply
    85,599x = 127,926 × 127,926
  4. Step 4: Simplify right side
    85,599x = 16,365,061,476
  5. Step 5: Solve for x
    x = 16,365,061,476/85,599
  6. Step 6: Final answer
    x = 191,182.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.