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Finding the Third Proportional to 81,904.08 and 175,193.30

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Solution

The third proportional to 81,904.08 and 175,193.30 is: 374,739.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,904.08 : 175,193.30 = 175,193.30 : x
  2. Step 2: Convert to fraction form
    81,904.08/175,193.30 = 175,193.30/x
  3. Step 3: Cross multiply
    81,904.08x = 175,193.30 × 175,193.30
  4. Step 4: Simplify right side
    81,904.08x = 30,692,691,269.93
  5. Step 5: Solve for x
    x = 30,692,691,269.93/81,904.08
  6. Step 6: Final answer
    x = 374,739.48

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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.