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Finding the Third Proportional to 79,907.50 and 170,750

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Solution

The third proportional to 79,907.50 and 170,750 is: 364,866.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,907.50 : 170,750 = 170,750 : x
  2. Step 2: Convert to fraction form
    79,907.50/170,750 = 170,750/x
  3. Step 3: Cross multiply
    79,907.50x = 170,750 × 170,750
  4. Step 4: Simplify right side
    79,907.50x = 29,155,562,500
  5. Step 5: Solve for x
    x = 29,155,562,500/79,907.50
  6. Step 6: Final answer
    x = 364,866.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.