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Finding the Third Proportional to 107,438 and 164,588

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Solution

The third proportional to 107,438 and 164,588 is: 252,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,438 : 164,588 = 164,588 : x
  2. Step 2: Convert to fraction form
    107,438/164,588 = 164,588/x
  3. Step 3: Cross multiply
    107,438x = 164,588 × 164,588
  4. Step 4: Simplify right side
    107,438x = 27,089,209,744
  5. Step 5: Solve for x
    x = 27,089,209,744/107,438
  6. Step 6: Final answer
    x = 252,138.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.