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Finding the Third Proportional to 76,574 and 162,240

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Solution

The third proportional to 76,574 and 162,240 is: 343,743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,574 : 162,240 = 162,240 : x
  2. Step 2: Convert to fraction form
    76,574/162,240 = 162,240/x
  3. Step 3: Cross multiply
    76,574x = 162,240 × 162,240
  4. Step 4: Simplify right side
    76,574x = 26,321,817,600
  5. Step 5: Solve for x
    x = 26,321,817,600/76,574
  6. Step 6: Final answer
    x = 343,743.54

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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.