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Finding the Third Proportional to 111,264.75 and 164,451.94

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Solution

The third proportional to 111,264.75 and 164,451.94 is: 243,063.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,264.75 : 164,451.94 = 164,451.94 : x
  2. Step 2: Convert to fraction form
    111,264.75/164,451.94 = 164,451.94/x
  3. Step 3: Cross multiply
    111,264.75x = 164,451.94 × 164,451.94
  4. Step 4: Simplify right side
    111,264.75x = 27,044,439,747.50
  5. Step 5: Solve for x
    x = 27,044,439,747.50/111,264.75
  6. Step 6: Final answer
    x = 243,063.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.