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Finding the Third Proportional to 86,317.50 and 132,483

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Solution

The third proportional to 86,317.50 and 132,483 is: 203,339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,317.50 : 132,483 = 132,483 : x
  2. Step 2: Convert to fraction form
    86,317.50/132,483 = 132,483/x
  3. Step 3: Cross multiply
    86,317.50x = 132,483 × 132,483
  4. Step 4: Simplify right side
    86,317.50x = 17,551,745,289
  5. Step 5: Solve for x
    x = 17,551,745,289/86,317.50
  6. Step 6: Final answer
    x = 203,339.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.