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Finding the Third Proportional to 78,205.50 and 106,251.75

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Solution

The third proportional to 78,205.50 and 106,251.75 is: 144,356.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,205.50 : 106,251.75 = 106,251.75 : x
  2. Step 2: Convert to fraction form
    78,205.50/106,251.75 = 106,251.75/x
  3. Step 3: Cross multiply
    78,205.50x = 106,251.75 × 106,251.75
  4. Step 4: Simplify right side
    78,205.50x = 11,289,434,378.06
  5. Step 5: Solve for x
    x = 11,289,434,378.06/78,205.50
  6. Step 6: Final answer
    x = 144,356.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.