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Finding the Third Proportional to 86,775 and 131,254.50

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Solution

The third proportional to 86,775 and 131,254.50 is: 198,533.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,775 : 131,254.50 = 131,254.50 : x
  2. Step 2: Convert to fraction form
    86,775/131,254.50 = 131,254.50/x
  3. Step 3: Cross multiply
    86,775x = 131,254.50 × 131,254.50
  4. Step 4: Simplify right side
    86,775x = 17,227,743,770.25
  5. Step 5: Solve for x
    x = 17,227,743,770.25/86,775
  6. Step 6: Final answer
    x = 198,533.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.