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Finding the Third Proportional to 69,588 and 149,013

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Solution

The third proportional to 69,588 and 149,013 is: 319,090.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,588 : 149,013 = 149,013 : x
  2. Step 2: Convert to fraction form
    69,588/149,013 = 149,013/x
  3. Step 3: Cross multiply
    69,588x = 149,013 × 149,013
  4. Step 4: Simplify right side
    69,588x = 22,204,874,169
  5. Step 5: Solve for x
    x = 22,204,874,169/69,588
  6. Step 6: Final answer
    x = 319,090.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.