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Finding the Third Proportional to 74,301 and 162,150

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Solution

The third proportional to 74,301 and 162,150 is: 353,866.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,301 : 162,150 = 162,150 : x
  2. Step 2: Convert to fraction form
    74,301/162,150 = 162,150/x
  3. Step 3: Cross multiply
    74,301x = 162,150 × 162,150
  4. Step 4: Simplify right side
    74,301x = 26,292,622,500
  5. Step 5: Solve for x
    x = 26,292,622,500/74,301
  6. Step 6: Final answer
    x = 353,866.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.