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Finding the Third Proportional to 69,584 and 151,588

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Solution

The third proportional to 69,584 and 151,588 is: 330,232.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,584 : 151,588 = 151,588 : x
  2. Step 2: Convert to fraction form
    69,584/151,588 = 151,588/x
  3. Step 3: Cross multiply
    69,584x = 151,588 × 151,588
  4. Step 4: Simplify right side
    69,584x = 22,978,921,744
  5. Step 5: Solve for x
    x = 22,978,921,744/69,584
  6. Step 6: Final answer
    x = 330,232.84

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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.