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Finding the Third Proportional to 56,442 and 120,192

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Solution

The third proportional to 56,442 and 120,192 is: 255,946.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,442 : 120,192 = 120,192 : x
  2. Step 2: Convert to fraction form
    56,442/120,192 = 120,192/x
  3. Step 3: Cross multiply
    56,442x = 120,192 × 120,192
  4. Step 4: Simplify right side
    56,442x = 14,446,116,864
  5. Step 5: Solve for x
    x = 14,446,116,864/56,442
  6. Step 6: Final answer
    x = 255,946.23

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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.