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Finding the Third Proportional to 51,597 and 113,186.25

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Solution

The third proportional to 51,597 and 113,186.25 is: 248,292.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,597 : 113,186.25 = 113,186.25 : x
  2. Step 2: Convert to fraction form
    51,597/113,186.25 = 113,186.25/x
  3. Step 3: Cross multiply
    51,597x = 113,186.25 × 113,186.25
  4. Step 4: Simplify right side
    51,597x = 12,811,127,189.06
  5. Step 5: Solve for x
    x = 12,811,127,189.06/51,597
  6. Step 6: Final answer
    x = 248,292.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.