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Finding the Third Proportional to 78,096 and 170,448

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Solution

The third proportional to 78,096 and 170,448 is: 372,010.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,096 : 170,448 = 170,448 : x
  2. Step 2: Convert to fraction form
    78,096/170,448 = 170,448/x
  3. Step 3: Cross multiply
    78,096x = 170,448 × 170,448
  4. Step 4: Simplify right side
    78,096x = 29,052,520,704
  5. Step 5: Solve for x
    x = 29,052,520,704/78,096
  6. Step 6: Final answer
    x = 372,010.36

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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.