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Finding the Third Proportional to 69,010 and 163,021

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Solution

The third proportional to 69,010 and 163,021 is: 385,101.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,010 : 163,021 = 163,021 : x
  2. Step 2: Convert to fraction form
    69,010/163,021 = 163,021/x
  3. Step 3: Cross multiply
    69,010x = 163,021 × 163,021
  4. Step 4: Simplify right side
    69,010x = 26,575,846,441
  5. Step 5: Solve for x
    x = 26,575,846,441/69,010
  6. Step 6: Final answer
    x = 385,101.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.