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Finding the Third Proportional to 76,970.25 and 162,654.75

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Solution

The third proportional to 76,970.25 and 162,654.75 is: 343,724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,970.25 : 162,654.75 = 162,654.75 : x
  2. Step 2: Convert to fraction form
    76,970.25/162,654.75 = 162,654.75/x
  3. Step 3: Cross multiply
    76,970.25x = 162,654.75 × 162,654.75
  4. Step 4: Simplify right side
    76,970.25x = 26,456,567,697.56
  5. Step 5: Solve for x
    x = 26,456,567,697.56/76,970.25
  6. Step 6: Final answer
    x = 343,724.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.