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Finding the Third Proportional to 133,826.63 and 181,663.88

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Solution

The third proportional to 133,826.63 and 181,663.88 is: 246,600.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,826.63 : 181,663.88 = 181,663.88 : x
  2. Step 2: Convert to fraction form
    133,826.63/181,663.88 = 181,663.88/x
  3. Step 3: Cross multiply
    133,826.63x = 181,663.88 × 181,663.88
  4. Step 4: Simplify right side
    133,826.63x = 33,001,763,480.02
  5. Step 5: Solve for x
    x = 33,001,763,480.02/133,826.63
  6. Step 6: Final answer
    x = 246,600.88

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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.