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Finding the Third Proportional to 56,133 and 120,048

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Solution

The third proportional to 56,133 and 120,048 is: 256,738.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,133 : 120,048 = 120,048 : x
  2. Step 2: Convert to fraction form
    56,133/120,048 = 120,048/x
  3. Step 3: Cross multiply
    56,133x = 120,048 × 120,048
  4. Step 4: Simplify right side
    56,133x = 14,411,522,304
  5. Step 5: Solve for x
    x = 14,411,522,304/56,133
  6. Step 6: Final answer
    x = 256,738.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.