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Finding the Third Proportional to 78,044 and 170,954

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Solution

The third proportional to 78,044 and 170,954 is: 374,471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,044 : 170,954 = 170,954 : x
  2. Step 2: Convert to fraction form
    78,044/170,954 = 170,954/x
  3. Step 3: Cross multiply
    78,044x = 170,954 × 170,954
  4. Step 4: Simplify right side
    78,044x = 29,225,270,116
  5. Step 5: Solve for x
    x = 29,225,270,116/78,044
  6. Step 6: Final answer
    x = 374,471.71

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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.