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Finding the Third Proportional to 79,657.13 and 173,806.50

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Solution

The third proportional to 79,657.13 and 173,806.50 is: 379,234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,657.13 : 173,806.50 = 173,806.50 : x
  2. Step 2: Convert to fraction form
    79,657.13/173,806.50 = 173,806.50/x
  3. Step 3: Cross multiply
    79,657.13x = 173,806.50 × 173,806.50
  4. Step 4: Simplify right side
    79,657.13x = 30,208,699,442.25
  5. Step 5: Solve for x
    x = 30,208,699,442.25/79,657.13
  6. Step 6: Final answer
    x = 379,234.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.