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Finding the Third Proportional to 69,621 and 147,180

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Solution

The third proportional to 69,621 and 147,180 is: 311,141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,621 : 147,180 = 147,180 : x
  2. Step 2: Convert to fraction form
    69,621/147,180 = 147,180/x
  3. Step 3: Cross multiply
    69,621x = 147,180 × 147,180
  4. Step 4: Simplify right side
    69,621x = 21,661,952,400
  5. Step 5: Solve for x
    x = 21,661,952,400/69,621
  6. Step 6: Final answer
    x = 311,141.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.