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Finding the Third Proportional to 69,424 and 151,412

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Solution

The third proportional to 69,424 and 151,412 is: 330,225.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,424 : 151,412 = 151,412 : x
  2. Step 2: Convert to fraction form
    69,424/151,412 = 151,412/x
  3. Step 3: Cross multiply
    69,424x = 151,412 × 151,412
  4. Step 4: Simplify right side
    69,424x = 22,925,593,744
  5. Step 5: Solve for x
    x = 22,925,593,744/69,424
  6. Step 6: Final answer
    x = 330,225.77

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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.