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Finding the Third Proportional to 33,534 and 79,164

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Solution

The third proportional to 33,534 and 79,164 is: 186,883.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,534 : 79,164 = 79,164 : x
  2. Step 2: Convert to fraction form
    33,534/79,164 = 79,164/x
  3. Step 3: Cross multiply
    33,534x = 79,164 × 79,164
  4. Step 4: Simplify right side
    33,534x = 6,266,938,896
  5. Step 5: Solve for x
    x = 6,266,938,896/33,534
  6. Step 6: Final answer
    x = 186,883.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.