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Finding the Third Proportional to 108,771 and 153,176

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Solution

The third proportional to 108,771 and 153,176 is: 215,709.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,771 : 153,176 = 153,176 : x
  2. Step 2: Convert to fraction form
    108,771/153,176 = 153,176/x
  3. Step 3: Cross multiply
    108,771x = 153,176 × 153,176
  4. Step 4: Simplify right side
    108,771x = 23,462,886,976
  5. Step 5: Solve for x
    x = 23,462,886,976/108,771
  6. Step 6: Final answer
    x = 215,709.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.