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Finding the Third Proportional to 76,520.25 and 162,303.75

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Solution

The third proportional to 76,520.25 and 162,303.75 is: 344,255.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,520.25 : 162,303.75 = 162,303.75 : x
  2. Step 2: Convert to fraction form
    76,520.25/162,303.75 = 162,303.75/x
  3. Step 3: Cross multiply
    76,520.25x = 162,303.75 × 162,303.75
  4. Step 4: Simplify right side
    76,520.25x = 26,342,507,264.06
  5. Step 5: Solve for x
    x = 26,342,507,264.06/76,520.25
  6. Step 6: Final answer
    x = 344,255.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.