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Finding the Third Proportional to 56,746 and 120,666

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Solution

The third proportional to 56,746 and 120,666 is: 256,586.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,746 : 120,666 = 120,666 : x
  2. Step 2: Convert to fraction form
    56,746/120,666 = 120,666/x
  3. Step 3: Cross multiply
    56,746x = 120,666 × 120,666
  4. Step 4: Simplify right side
    56,746x = 14,560,283,556
  5. Step 5: Solve for x
    x = 14,560,283,556/56,746
  6. Step 6: Final answer
    x = 256,586.96

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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.