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Finding the Third Proportional to 51,774.75 and 112,767.75

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Solution

The third proportional to 51,774.75 and 112,767.75 is: 245,613.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,774.75 : 112,767.75 = 112,767.75 : x
  2. Step 2: Convert to fraction form
    51,774.75/112,767.75 = 112,767.75/x
  3. Step 3: Cross multiply
    51,774.75x = 112,767.75 × 112,767.75
  4. Step 4: Simplify right side
    51,774.75x = 12,716,565,440.06
  5. Step 5: Solve for x
    x = 12,716,565,440.06/51,774.75
  6. Step 6: Final answer
    x = 245,613.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.