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Finding the Third Proportional to 64,804.50 and 132,837

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Solution

The third proportional to 64,804.50 and 132,837 is: 272,290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,804.50 : 132,837 = 132,837 : x
  2. Step 2: Convert to fraction form
    64,804.50/132,837 = 132,837/x
  3. Step 3: Cross multiply
    64,804.50x = 132,837 × 132,837
  4. Step 4: Simplify right side
    64,804.50x = 17,645,668,569
  5. Step 5: Solve for x
    x = 17,645,668,569/64,804.50
  6. Step 6: Final answer
    x = 272,290.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.