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Finding the Third Proportional to 102,676 and 153,588

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Solution

The third proportional to 102,676 and 153,588 is: 229,744.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,676 : 153,588 = 153,588 : x
  2. Step 2: Convert to fraction form
    102,676/153,588 = 153,588/x
  3. Step 3: Cross multiply
    102,676x = 153,588 × 153,588
  4. Step 4: Simplify right side
    102,676x = 23,589,273,744
  5. Step 5: Solve for x
    x = 23,589,273,744/102,676
  6. Step 6: Final answer
    x = 229,744.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.