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Finding the Third Proportional to 75,325.50 and 162,313.50

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Solution

The third proportional to 75,325.50 and 162,313.50 is: 349,757.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,325.50 : 162,313.50 = 162,313.50 : x
  2. Step 2: Convert to fraction form
    75,325.50/162,313.50 = 162,313.50/x
  3. Step 3: Cross multiply
    75,325.50x = 162,313.50 × 162,313.50
  4. Step 4: Simplify right side
    75,325.50x = 26,345,672,282.25
  5. Step 5: Solve for x
    x = 26,345,672,282.25/75,325.50
  6. Step 6: Final answer
    x = 349,757.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.