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Finding the Third Proportional to 75,996 and 164,088

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Solution

The third proportional to 75,996 and 164,088 is: 354,293.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,996 : 164,088 = 164,088 : x
  2. Step 2: Convert to fraction form
    75,996/164,088 = 164,088/x
  3. Step 3: Cross multiply
    75,996x = 164,088 × 164,088
  4. Step 4: Simplify right side
    75,996x = 26,924,871,744
  5. Step 5: Solve for x
    x = 26,924,871,744/75,996
  6. Step 6: Final answer
    x = 354,293.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.