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Finding the Third Proportional to 70,119 and 153,087

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Solution

The third proportional to 70,119 and 153,087 is: 334,226.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,119 : 153,087 = 153,087 : x
  2. Step 2: Convert to fraction form
    70,119/153,087 = 153,087/x
  3. Step 3: Cross multiply
    70,119x = 153,087 × 153,087
  4. Step 4: Simplify right side
    70,119x = 23,435,629,569
  5. Step 5: Solve for x
    x = 23,435,629,569/70,119
  6. Step 6: Final answer
    x = 334,226.52

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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.