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Finding the Third Proportional to 78,868 and 170,852

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Solution

The third proportional to 78,868 and 170,852 is: 370,117.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,868 : 170,852 = 170,852 : x
  2. Step 2: Convert to fraction form
    78,868/170,852 = 170,852/x
  3. Step 3: Cross multiply
    78,868x = 170,852 × 170,852
  4. Step 4: Simplify right side
    78,868x = 29,190,405,904
  5. Step 5: Solve for x
    x = 29,190,405,904/78,868
  6. Step 6: Final answer
    x = 370,117.23

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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.