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Finding the Third Proportional to 75,040 and 160,122

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Solution

The third proportional to 75,040 and 160,122 is: 341,671.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,040 : 160,122 = 160,122 : x
  2. Step 2: Convert to fraction form
    75,040/160,122 = 160,122/x
  3. Step 3: Cross multiply
    75,040x = 160,122 × 160,122
  4. Step 4: Simplify right side
    75,040x = 25,639,054,884
  5. Step 5: Solve for x
    x = 25,639,054,884/75,040
  6. Step 6: Final answer
    x = 341,671.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.