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Finding the Third Proportional to 117,682.88 and 177,622.88

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Solution

The third proportional to 117,682.88 and 177,622.88 is: 268,092.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,682.88 : 177,622.88 = 177,622.88 : x
  2. Step 2: Convert to fraction form
    117,682.88/177,622.88 = 177,622.88/x
  3. Step 3: Cross multiply
    117,682.88x = 177,622.88 × 177,622.88
  4. Step 4: Simplify right side
    117,682.88x = 31,549,885,723.27
  5. Step 5: Solve for x
    x = 31,549,885,723.27/117,682.88
  6. Step 6: Final answer
    x = 268,092.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.