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Finding the Third Proportional to 133,017 and 179,464

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Solution

The third proportional to 133,017 and 179,464 is: 242,129.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,017 : 179,464 = 179,464 : x
  2. Step 2: Convert to fraction form
    133,017/179,464 = 179,464/x
  3. Step 3: Cross multiply
    133,017x = 179,464 × 179,464
  4. Step 4: Simplify right side
    133,017x = 32,207,327,296
  5. Step 5: Solve for x
    x = 32,207,327,296/133,017
  6. Step 6: Final answer
    x = 242,129.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.