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Finding the Third Proportional to 97,819.88 and 131,025.94

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Solution

The third proportional to 97,819.88 and 131,025.94 is: 175,504.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,819.88 : 131,025.94 = 131,025.94 : x
  2. Step 2: Convert to fraction form
    97,819.88/131,025.94 = 131,025.94/x
  3. Step 3: Cross multiply
    97,819.88x = 131,025.94 × 131,025.94
  4. Step 4: Simplify right side
    97,819.88x = 17,167,796,297.75
  5. Step 5: Solve for x
    x = 17,167,796,297.75/97,819.88
  6. Step 6: Final answer
    x = 175,504.17

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.