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Finding the Third Proportional to 70,895 and 154,669

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Solution

The third proportional to 70,895 and 154,669 is: 337,435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,895 : 154,669 = 154,669 : x
  2. Step 2: Convert to fraction form
    70,895/154,669 = 154,669/x
  3. Step 3: Cross multiply
    70,895x = 154,669 × 154,669
  4. Step 4: Simplify right side
    70,895x = 23,922,499,561
  5. Step 5: Solve for x
    x = 23,922,499,561/70,895
  6. Step 6: Final answer
    x = 337,435.64

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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.