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Finding the Third Proportional to 79,906.50 and 170,748

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Solution

The third proportional to 79,906.50 and 170,748 is: 364,862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,906.50 : 170,748 = 170,748 : x
  2. Step 2: Convert to fraction form
    79,906.50/170,748 = 170,748/x
  3. Step 3: Cross multiply
    79,906.50x = 170,748 × 170,748
  4. Step 4: Simplify right side
    79,906.50x = 29,154,879,504
  5. Step 5: Solve for x
    x = 29,154,879,504/79,906.50
  6. Step 6: Final answer
    x = 364,862.43

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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.