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Finding the Third Proportional to 101,911.50 and 168,435

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Solution

The third proportional to 101,911.50 and 168,435 is: 278,382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,911.50 : 168,435 = 168,435 : x
  2. Step 2: Convert to fraction form
    101,911.50/168,435 = 168,435/x
  3. Step 3: Cross multiply
    101,911.50x = 168,435 × 168,435
  4. Step 4: Simplify right side
    101,911.50x = 28,370,349,225
  5. Step 5: Solve for x
    x = 28,370,349,225/101,911.50
  6. Step 6: Final answer
    x = 278,382.22

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.