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Finding the Third Proportional to 81,903.75 and 175,192.88

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Solution

The third proportional to 81,903.75 and 175,192.88 is: 374,739.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,903.75 : 175,192.88 = 175,192.88 : x
  2. Step 2: Convert to fraction form
    81,903.75/175,192.88 = 175,192.88/x
  3. Step 3: Cross multiply
    81,903.75x = 175,192.88 × 175,192.88
  4. Step 4: Simplify right side
    81,903.75x = 30,692,543,450.77
  5. Step 5: Solve for x
    x = 30,692,543,450.77/81,903.75
  6. Step 6: Final answer
    x = 374,739.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.