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Finding the Third Proportional to 35,920.50 and 78,059

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Solution

The third proportional to 35,920.50 and 78,059 is: 169,630.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,920.50 : 78,059 = 78,059 : x
  2. Step 2: Convert to fraction form
    35,920.50/78,059 = 78,059/x
  3. Step 3: Cross multiply
    35,920.50x = 78,059 × 78,059
  4. Step 4: Simplify right side
    35,920.50x = 6,093,207,481
  5. Step 5: Solve for x
    x = 6,093,207,481/35,920.50
  6. Step 6: Final answer
    x = 169,630.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.