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Finding the Third Proportional to 75,496 and 157,116

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Solution

The third proportional to 75,496 and 157,116 is: 326,976.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,496 : 157,116 = 157,116 : x
  2. Step 2: Convert to fraction form
    75,496/157,116 = 157,116/x
  3. Step 3: Cross multiply
    75,496x = 157,116 × 157,116
  4. Step 4: Simplify right side
    75,496x = 24,685,437,456
  5. Step 5: Solve for x
    x = 24,685,437,456/75,496
  6. Step 6: Final answer
    x = 326,976.76

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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.