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Finding the Third Proportional to 56,489 and 120,484

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Solution

The third proportional to 56,489 and 120,484 is: 256,977.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,489 : 120,484 = 120,484 : x
  2. Step 2: Convert to fraction form
    56,489/120,484 = 120,484/x
  3. Step 3: Cross multiply
    56,489x = 120,484 × 120,484
  4. Step 4: Simplify right side
    56,489x = 14,516,394,256
  5. Step 5: Solve for x
    x = 14,516,394,256/56,489
  6. Step 6: Final answer
    x = 256,977.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.