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Finding the Third Proportional to 75,324 and 163,755

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Solution

The third proportional to 75,324 and 163,755 is: 356,004.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,324 : 163,755 = 163,755 : x
  2. Step 2: Convert to fraction form
    75,324/163,755 = 163,755/x
  3. Step 3: Cross multiply
    75,324x = 163,755 × 163,755
  4. Step 4: Simplify right side
    75,324x = 26,815,700,025
  5. Step 5: Solve for x
    x = 26,815,700,025/75,324
  6. Step 6: Final answer
    x = 356,004.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.