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Finding the Third Proportional to 148,077 and 202,432

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Solution

The third proportional to 148,077 and 202,432 is: 276,739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,077 : 202,432 = 202,432 : x
  2. Step 2: Convert to fraction form
    148,077/202,432 = 202,432/x
  3. Step 3: Cross multiply
    148,077x = 202,432 × 202,432
  4. Step 4: Simplify right side
    148,077x = 40,978,714,624
  5. Step 5: Solve for x
    x = 40,978,714,624/148,077
  6. Step 6: Final answer
    x = 276,739.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.