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Finding the Third Proportional to 56,546 and 119,764

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Solution

The third proportional to 56,546 and 119,764 is: 253,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,546 : 119,764 = 119,764 : x
  2. Step 2: Convert to fraction form
    56,546/119,764 = 119,764/x
  3. Step 3: Cross multiply
    56,546x = 119,764 × 119,764
  4. Step 4: Simplify right side
    56,546x = 14,343,415,696
  5. Step 5: Solve for x
    x = 14,343,415,696/56,546
  6. Step 6: Final answer
    x = 253,659.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.