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Finding the Third Proportional to 76,352.63 and 161,322.75

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Solution

The third proportional to 76,352.63 and 161,322.75 is: 340,853.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,352.63 : 161,322.75 = 161,322.75 : x
  2. Step 2: Convert to fraction form
    76,352.63/161,322.75 = 161,322.75/x
  3. Step 3: Cross multiply
    76,352.63x = 161,322.75 × 161,322.75
  4. Step 4: Simplify right side
    76,352.63x = 26,025,029,667.56
  5. Step 5: Solve for x
    x = 26,025,029,667.56/76,352.63
  6. Step 6: Final answer
    x = 340,853.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.