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Finding the Third Proportional to 75,242 and 163,443

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Solution

The third proportional to 75,242 and 163,443 is: 355,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,242 : 163,443 = 163,443 : x
  2. Step 2: Convert to fraction form
    75,242/163,443 = 163,443/x
  3. Step 3: Cross multiply
    75,242x = 163,443 × 163,443
  4. Step 4: Simplify right side
    75,242x = 26,713,614,249
  5. Step 5: Solve for x
    x = 26,713,614,249/75,242
  6. Step 6: Final answer
    x = 355,035.94

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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.