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Finding the Third Proportional to 75,400 and 157,002

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Solution

The third proportional to 75,400 and 157,002 is: 326,918.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,400 : 157,002 = 157,002 : x
  2. Step 2: Convert to fraction form
    75,400/157,002 = 157,002/x
  3. Step 3: Cross multiply
    75,400x = 157,002 × 157,002
  4. Step 4: Simplify right side
    75,400x = 24,649,628,004
  5. Step 5: Solve for x
    x = 24,649,628,004/75,400
  6. Step 6: Final answer
    x = 326,918.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.