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Finding the Third Proportional to 51,402.52 and 114,624.18

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Solution

The third proportional to 51,402.52 and 114,624.18 is: 255,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,402.52 : 114,624.18 = 114,624.18 : x
  2. Step 2: Convert to fraction form
    51,402.52/114,624.18 = 114,624.18/x
  3. Step 3: Cross multiply
    51,402.52x = 114,624.18 × 114,624.18
  4. Step 4: Simplify right side
    51,402.52x = 13,138,701,673.53
  5. Step 5: Solve for x
    x = 13,138,701,673.53/51,402.52
  6. Step 6: Final answer
    x = 255,604.25

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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.