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Finding the Third Proportional to 70,856 and 154,168

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Solution

The third proportional to 70,856 and 154,168 is: 335,437.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,856 : 154,168 = 154,168 : x
  2. Step 2: Convert to fraction form
    70,856/154,168 = 154,168/x
  3. Step 3: Cross multiply
    70,856x = 154,168 × 154,168
  4. Step 4: Simplify right side
    70,856x = 23,767,772,224
  5. Step 5: Solve for x
    x = 23,767,772,224/70,856
  6. Step 6: Final answer
    x = 335,437.68

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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.