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Finding the Third Proportional to 56,729 and 120,631

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Solution

The third proportional to 56,729 and 120,631 is: 256,514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,729 : 120,631 = 120,631 : x
  2. Step 2: Convert to fraction form
    56,729/120,631 = 120,631/x
  3. Step 3: Cross multiply
    56,729x = 120,631 × 120,631
  4. Step 4: Simplify right side
    56,729x = 14,551,838,161
  5. Step 5: Solve for x
    x = 14,551,838,161/56,729
  6. Step 6: Final answer
    x = 256,514.98

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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.