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Finding the Third Proportional to 73,178 and 159,616

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Solution

The third proportional to 73,178 and 159,616 is: 348,154.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,178 : 159,616 = 159,616 : x
  2. Step 2: Convert to fraction form
    73,178/159,616 = 159,616/x
  3. Step 3: Cross multiply
    73,178x = 159,616 × 159,616
  4. Step 4: Simplify right side
    73,178x = 25,477,267,456
  5. Step 5: Solve for x
    x = 25,477,267,456/73,178
  6. Step 6: Final answer
    x = 348,154.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.