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Finding the Third Proportional to 86,539.50 and 185,607

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Solution

The third proportional to 86,539.50 and 185,607 is: 398,083.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,539.50 : 185,607 = 185,607 : x
  2. Step 2: Convert to fraction form
    86,539.50/185,607 = 185,607/x
  3. Step 3: Cross multiply
    86,539.50x = 185,607 × 185,607
  4. Step 4: Simplify right side
    86,539.50x = 34,449,958,449
  5. Step 5: Solve for x
    x = 34,449,958,449/86,539.50
  6. Step 6: Final answer
    x = 398,083.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.