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Finding the Third Proportional to 33,070 and 72,080

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Solution

The third proportional to 33,070 and 72,080 is: 157,106.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,070 : 72,080 = 72,080 : x
  2. Step 2: Convert to fraction form
    33,070/72,080 = 72,080/x
  3. Step 3: Cross multiply
    33,070x = 72,080 × 72,080
  4. Step 4: Simplify right side
    33,070x = 5,195,526,400
  5. Step 5: Solve for x
    x = 5,195,526,400/33,070
  6. Step 6: Final answer
    x = 157,106.94

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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.