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Finding the Third Proportional to 56,872 and 120,300

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Solution

The third proportional to 56,872 and 120,300 is: 254,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,872 : 120,300 = 120,300 : x
  2. Step 2: Convert to fraction form
    56,872/120,300 = 120,300/x
  3. Step 3: Cross multiply
    56,872x = 120,300 × 120,300
  4. Step 4: Simplify right side
    56,872x = 14,472,090,000
  5. Step 5: Solve for x
    x = 14,472,090,000/56,872
  6. Step 6: Final answer
    x = 254,467.75

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.