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Finding the Third Proportional to 75,588 and 164,991

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Solution

The third proportional to 75,588 and 164,991 is: 360,136.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,588 : 164,991 = 164,991 : x
  2. Step 2: Convert to fraction form
    75,588/164,991 = 164,991/x
  3. Step 3: Cross multiply
    75,588x = 164,991 × 164,991
  4. Step 4: Simplify right side
    75,588x = 27,222,030,081
  5. Step 5: Solve for x
    x = 27,222,030,081/75,588
  6. Step 6: Final answer
    x = 360,136.93

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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.