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Finding the Third Proportional to 56,972 and 120,508

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Solution

The third proportional to 56,972 and 120,508 is: 254,900.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,972 : 120,508 = 120,508 : x
  2. Step 2: Convert to fraction form
    56,972/120,508 = 120,508/x
  3. Step 3: Cross multiply
    56,972x = 120,508 × 120,508
  4. Step 4: Simplify right side
    56,972x = 14,522,178,064
  5. Step 5: Solve for x
    x = 14,522,178,064/56,972
  6. Step 6: Final answer
    x = 254,900.27

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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.