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Finding the Third Proportional to 78,048 and 170,964

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Solution

The third proportional to 78,048 and 170,964 is: 374,496.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,048 : 170,964 = 170,964 : x
  2. Step 2: Convert to fraction form
    78,048/170,964 = 170,964/x
  3. Step 3: Cross multiply
    78,048x = 170,964 × 170,964
  4. Step 4: Simplify right side
    78,048x = 29,228,689,296
  5. Step 5: Solve for x
    x = 29,228,689,296/78,048
  6. Step 6: Final answer
    x = 374,496.33

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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.