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Finding the Third Proportional to 56,434 and 120,642

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Solution

The third proportional to 56,434 and 120,642 is: 257,902.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,434 : 120,642 = 120,642 : x
  2. Step 2: Convert to fraction form
    56,434/120,642 = 120,642/x
  3. Step 3: Cross multiply
    56,434x = 120,642 × 120,642
  4. Step 4: Simplify right side
    56,434x = 14,554,492,164
  5. Step 5: Solve for x
    x = 14,554,492,164/56,434
  6. Step 6: Final answer
    x = 257,902.90

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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.