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Finding the Third Proportional to 73,973.50 and 162,680

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Solution

The third proportional to 73,973.50 and 162,680 is: 357,760.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,973.50 : 162,680 = 162,680 : x
  2. Step 2: Convert to fraction form
    73,973.50/162,680 = 162,680/x
  3. Step 3: Cross multiply
    73,973.50x = 162,680 × 162,680
  4. Step 4: Simplify right side
    73,973.50x = 26,464,782,400
  5. Step 5: Solve for x
    x = 26,464,782,400/73,973.50
  6. Step 6: Final answer
    x = 357,760.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.