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Finding the Third Proportional to 139,489 and 202,753

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Solution

The third proportional to 139,489 and 202,753 is: 294,709.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,489 : 202,753 = 202,753 : x
  2. Step 2: Convert to fraction form
    139,489/202,753 = 202,753/x
  3. Step 3: Cross multiply
    139,489x = 202,753 × 202,753
  4. Step 4: Simplify right side
    139,489x = 41,108,779,009
  5. Step 5: Solve for x
    x = 41,108,779,009/139,489
  6. Step 6: Final answer
    x = 294,709.83

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Why These Related Problems?

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