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Finding the Third Proportional to 51,402.94 and 114,625.02

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Solution

The third proportional to 51,402.94 and 114,625.02 is: 255,605.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,402.94 : 114,625.02 = 114,625.02 : x
  2. Step 2: Convert to fraction form
    51,402.94/114,625.02 = 114,625.02/x
  3. Step 3: Cross multiply
    51,402.94x = 114,625.02 × 114,625.02
  4. Step 4: Simplify right side
    51,402.94x = 13,138,895,102.54
  5. Step 5: Solve for x
    x = 13,138,895,102.54/51,402.94
  6. Step 6: Final answer
    x = 255,605.92

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.