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Finding the Third Proportional to 81,351.84 and 119,533.22

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Solution

The third proportional to 81,351.84 and 119,533.22 is: 175,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,351.84 : 119,533.22 = 119,533.22 : x
  2. Step 2: Convert to fraction form
    81,351.84/119,533.22 = 119,533.22/x
  3. Step 3: Cross multiply
    81,351.84x = 119,533.22 × 119,533.22
  4. Step 4: Simplify right side
    81,351.84x = 14,288,190,384.74
  5. Step 5: Solve for x
    x = 14,288,190,384.74/81,351.84
  6. Step 6: Final answer
    x = 175,634.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.