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Finding the Third Proportional to 75,027 and 163,995

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Solution

The third proportional to 75,027 and 163,995 is: 358,462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,027 : 163,995 = 163,995 : x
  2. Step 2: Convert to fraction form
    75,027/163,995 = 163,995/x
  3. Step 3: Cross multiply
    75,027x = 163,995 × 163,995
  4. Step 4: Simplify right side
    75,027x = 26,894,360,025
  5. Step 5: Solve for x
    x = 26,894,360,025/75,027
  6. Step 6: Final answer
    x = 358,462.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.