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Finding the Third Proportional to 56,666 and 124,772

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Solution

The third proportional to 56,666 and 124,772 is: 274,733.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,666 : 124,772 = 124,772 : x
  2. Step 2: Convert to fraction form
    56,666/124,772 = 124,772/x
  3. Step 3: Cross multiply
    56,666x = 124,772 × 124,772
  4. Step 4: Simplify right side
    56,666x = 15,568,051,984
  5. Step 5: Solve for x
    x = 15,568,051,984/56,666
  6. Step 6: Final answer
    x = 274,733.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.