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Finding the Third Proportional to 56,576 and 117,798

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Solution

The third proportional to 56,576 and 117,798 is: 245,269.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,576 : 117,798 = 117,798 : x
  2. Step 2: Convert to fraction form
    56,576/117,798 = 117,798/x
  3. Step 3: Cross multiply
    56,576x = 117,798 × 117,798
  4. Step 4: Simplify right side
    56,576x = 13,876,368,804
  5. Step 5: Solve for x
    x = 13,876,368,804/56,576
  6. Step 6: Final answer
    x = 245,269.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.