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Finding the Third Proportional to 69,588 and 162,584

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Solution

The third proportional to 69,588 and 162,584 is: 379,857.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,588 : 162,584 = 162,584 : x
  2. Step 2: Convert to fraction form
    69,588/162,584 = 162,584/x
  3. Step 3: Cross multiply
    69,588x = 162,584 × 162,584
  4. Step 4: Simplify right side
    69,588x = 26,433,557,056
  5. Step 5: Solve for x
    x = 26,433,557,056/69,588
  6. Step 6: Final answer
    x = 379,857.98

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.