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Finding the Third Proportional to 75,102.75 and 160,867

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Solution

The third proportional to 75,102.75 and 160,867 is: 344,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,102.75 : 160,867 = 160,867 : x
  2. Step 2: Convert to fraction form
    75,102.75/160,867 = 160,867/x
  3. Step 3: Cross multiply
    75,102.75x = 160,867 × 160,867
  4. Step 4: Simplify right side
    75,102.75x = 25,878,191,689
  5. Step 5: Solve for x
    x = 25,878,191,689/75,102.75
  6. Step 6: Final answer
    x = 344,570.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.