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Finding the Third Proportional to 75,313.50 and 163,024.50

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Solution

The third proportional to 75,313.50 and 163,024.50 is: 352,884.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,313.50 : 163,024.50 = 163,024.50 : x
  2. Step 2: Convert to fraction form
    75,313.50/163,024.50 = 163,024.50/x
  3. Step 3: Cross multiply
    75,313.50x = 163,024.50 × 163,024.50
  4. Step 4: Simplify right side
    75,313.50x = 26,576,987,600.25
  5. Step 5: Solve for x
    x = 26,576,987,600.25/75,313.50
  6. Step 6: Final answer
    x = 352,884.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.