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Finding the Third Proportional to 65,299.50 and 132,394.50

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Solution

The third proportional to 65,299.50 and 132,394.50 is: 268,429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,299.50 : 132,394.50 = 132,394.50 : x
  2. Step 2: Convert to fraction form
    65,299.50/132,394.50 = 132,394.50/x
  3. Step 3: Cross multiply
    65,299.50x = 132,394.50 × 132,394.50
  4. Step 4: Simplify right side
    65,299.50x = 17,528,303,630.25
  5. Step 5: Solve for x
    x = 17,528,303,630.25/65,299.50
  6. Step 6: Final answer
    x = 268,429.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.