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Finding the Third Proportional to 77,416 and 170,057

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Solution

The third proportional to 77,416 and 170,057 is: 373,558.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,416 : 170,057 = 170,057 : x
  2. Step 2: Convert to fraction form
    77,416/170,057 = 170,057/x
  3. Step 3: Cross multiply
    77,416x = 170,057 × 170,057
  4. Step 4: Simplify right side
    77,416x = 28,919,383,249
  5. Step 5: Solve for x
    x = 28,919,383,249/77,416
  6. Step 6: Final answer
    x = 373,558.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.