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Finding the Third Proportional to 101,427 and 146,904

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Solution

The third proportional to 101,427 and 146,904 is: 212,771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,427 : 146,904 = 146,904 : x
  2. Step 2: Convert to fraction form
    101,427/146,904 = 146,904/x
  3. Step 3: Cross multiply
    101,427x = 146,904 × 146,904
  4. Step 4: Simplify right side
    101,427x = 21,580,785,216
  5. Step 5: Solve for x
    x = 21,580,785,216/101,427
  6. Step 6: Final answer
    x = 212,771.60

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.