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Finding the Third Proportional to 74,132 and 163,096

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Solution

The third proportional to 74,132 and 163,096 is: 358,823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,132 : 163,096 = 163,096 : x
  2. Step 2: Convert to fraction form
    74,132/163,096 = 163,096/x
  3. Step 3: Cross multiply
    74,132x = 163,096 × 163,096
  4. Step 4: Simplify right side
    74,132x = 26,600,305,216
  5. Step 5: Solve for x
    x = 26,600,305,216/74,132
  6. Step 6: Final answer
    x = 358,823.52

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Why These Related Problems?

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