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Finding the Third Proportional to 56,574.75 and 117,798

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Solution

The third proportional to 56,574.75 and 117,798 is: 245,274.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,574.75 : 117,798 = 117,798 : x
  2. Step 2: Convert to fraction form
    56,574.75/117,798 = 117,798/x
  3. Step 3: Cross multiply
    56,574.75x = 117,798 × 117,798
  4. Step 4: Simplify right side
    56,574.75x = 13,876,368,804
  5. Step 5: Solve for x
    x = 13,876,368,804/56,574.75
  6. Step 6: Final answer
    x = 245,274.95

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