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Finding the Third Proportional to 74,134 and 163,100

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Solution

The third proportional to 74,134 and 163,100 is: 358,831.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,134 : 163,100 = 163,100 : x
  2. Step 2: Convert to fraction form
    74,134/163,100 = 163,100/x
  3. Step 3: Cross multiply
    74,134x = 163,100 × 163,100
  4. Step 4: Simplify right side
    74,134x = 26,601,610,000
  5. Step 5: Solve for x
    x = 26,601,610,000/74,134
  6. Step 6: Final answer
    x = 358,831.44

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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.