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Finding the Third Proportional to 77,906 and 170,635

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Solution

The third proportional to 77,906 and 170,635 is: 373,736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,906 : 170,635 = 170,635 : x
  2. Step 2: Convert to fraction form
    77,906/170,635 = 170,635/x
  3. Step 3: Cross multiply
    77,906x = 170,635 × 170,635
  4. Step 4: Simplify right side
    77,906x = 29,116,303,225
  5. Step 5: Solve for x
    x = 29,116,303,225/77,906
  6. Step 6: Final answer
    x = 373,736.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.