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Finding the Third Proportional to 51,754.88 and 110,887.50

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Solution

The third proportional to 51,754.88 and 110,887.50 is: 237,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,754.88 : 110,887.50 = 110,887.50 : x
  2. Step 2: Convert to fraction form
    51,754.88/110,887.50 = 110,887.50/x
  3. Step 3: Cross multiply
    51,754.88x = 110,887.50 × 110,887.50
  4. Step 4: Simplify right side
    51,754.88x = 12,296,037,656.25
  5. Step 5: Solve for x
    x = 12,296,037,656.25/51,754.88
  6. Step 6: Final answer
    x = 237,582.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.