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Finding the Third Proportional to 51,818.50 and 113,514.50

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Solution

The third proportional to 51,818.50 and 113,514.50 is: 248,666.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,818.50 : 113,514.50 = 113,514.50 : x
  2. Step 2: Convert to fraction form
    51,818.50/113,514.50 = 113,514.50/x
  3. Step 3: Cross multiply
    51,818.50x = 113,514.50 × 113,514.50
  4. Step 4: Simplify right side
    51,818.50x = 12,885,541,710.25
  5. Step 5: Solve for x
    x = 12,885,541,710.25/51,818.50
  6. Step 6: Final answer
    x = 248,666.82

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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.