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Finding the Third Proportional to 81,365.63 and 176,263.88

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Solution

The third proportional to 81,365.63 and 176,263.88 is: 381,843.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,365.63 : 176,263.88 = 176,263.88 : x
  2. Step 2: Convert to fraction form
    81,365.63/176,263.88 = 176,263.88/x
  3. Step 3: Cross multiply
    81,365.63x = 176,263.88 × 176,263.88
  4. Step 4: Simplify right side
    81,365.63x = 31,068,953,630.02
  5. Step 5: Solve for x
    x = 31,068,953,630.02/81,365.63
  6. Step 6: Final answer
    x = 381,843.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.