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Finding the Third Proportional to 133,663.50 and 181,581

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Solution

The third proportional to 133,663.50 and 181,581 is: 246,676.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,663.50 : 181,581 = 181,581 : x
  2. Step 2: Convert to fraction form
    133,663.50/181,581 = 181,581/x
  3. Step 3: Cross multiply
    133,663.50x = 181,581 × 181,581
  4. Step 4: Simplify right side
    133,663.50x = 32,971,659,561
  5. Step 5: Solve for x
    x = 32,971,659,561/133,663.50
  6. Step 6: Final answer
    x = 246,676.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.