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Finding the Third Proportional to 78,226 and 166,148

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Solution

The third proportional to 78,226 and 166,148 is: 352,889.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,226 : 166,148 = 166,148 : x
  2. Step 2: Convert to fraction form
    78,226/166,148 = 166,148/x
  3. Step 3: Cross multiply
    78,226x = 166,148 × 166,148
  4. Step 4: Simplify right side
    78,226x = 27,605,157,904
  5. Step 5: Solve for x
    x = 27,605,157,904/78,226
  6. Step 6: Final answer
    x = 352,889.81

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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.