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Finding the Third Proportional to 56,444 and 120,196

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Solution

The third proportional to 56,444 and 120,196 is: 255,954.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,444 : 120,196 = 120,196 : x
  2. Step 2: Convert to fraction form
    56,444/120,196 = 120,196/x
  3. Step 3: Cross multiply
    56,444x = 120,196 × 120,196
  4. Step 4: Simplify right side
    56,444x = 14,447,078,416
  5. Step 5: Solve for x
    x = 14,447,078,416/56,444
  6. Step 6: Final answer
    x = 255,954.19

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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.