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Finding the Third Proportional to 33,169 and 70,082.50

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Solution

The third proportional to 33,169 and 70,082.50 is: 148,076.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,169 : 70,082.50 = 70,082.50 : x
  2. Step 2: Convert to fraction form
    33,169/70,082.50 = 70,082.50/x
  3. Step 3: Cross multiply
    33,169x = 70,082.50 × 70,082.50
  4. Step 4: Simplify right side
    33,169x = 4,911,556,806.25
  5. Step 5: Solve for x
    x = 4,911,556,806.25/33,169
  6. Step 6: Final answer
    x = 148,076.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.