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Finding the Third Proportional to 76,619 and 162,360

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Solution

The third proportional to 76,619 and 162,360 is: 344,050.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,619 : 162,360 = 162,360 : x
  2. Step 2: Convert to fraction form
    76,619/162,360 = 162,360/x
  3. Step 3: Cross multiply
    76,619x = 162,360 × 162,360
  4. Step 4: Simplify right side
    76,619x = 26,360,769,600
  5. Step 5: Solve for x
    x = 26,360,769,600/76,619
  6. Step 6: Final answer
    x = 344,050.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.