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Finding the Third Proportional to 71,201 and 153,823

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Solution

The third proportional to 71,201 and 153,823 is: 332,319.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,201 : 153,823 = 153,823 : x
  2. Step 2: Convert to fraction form
    71,201/153,823 = 153,823/x
  3. Step 3: Cross multiply
    71,201x = 153,823 × 153,823
  4. Step 4: Simplify right side
    71,201x = 23,661,515,329
  5. Step 5: Solve for x
    x = 23,661,515,329/71,201
  6. Step 6: Final answer
    x = 332,319.99

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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.