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Finding the Third Proportional to 77,764 and 172,114

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Solution

The third proportional to 77,764 and 172,114 is: 380,937.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,764 : 172,114 = 172,114 : x
  2. Step 2: Convert to fraction form
    77,764/172,114 = 172,114/x
  3. Step 3: Cross multiply
    77,764x = 172,114 × 172,114
  4. Step 4: Simplify right side
    77,764x = 29,623,228,996
  5. Step 5: Solve for x
    x = 29,623,228,996/77,764
  6. Step 6: Final answer
    x = 380,937.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.