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Finding the Third Proportional to 72,041 and 158,094

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Solution

The third proportional to 72,041 and 158,094 is: 346,937.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,041 : 158,094 = 158,094 : x
  2. Step 2: Convert to fraction form
    72,041/158,094 = 158,094/x
  3. Step 3: Cross multiply
    72,041x = 158,094 × 158,094
  4. Step 4: Simplify right side
    72,041x = 24,993,712,836
  5. Step 5: Solve for x
    x = 24,993,712,836/72,041
  6. Step 6: Final answer
    x = 346,937.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.