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Finding the Third Proportional to 76,953.38 and 115,122.94

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Solution

The third proportional to 76,953.38 and 115,122.94 is: 172,224.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,953.38 : 115,122.94 = 115,122.94 : x
  2. Step 2: Convert to fraction form
    76,953.38/115,122.94 = 115,122.94/x
  3. Step 3: Cross multiply
    76,953.38x = 115,122.94 × 115,122.94
  4. Step 4: Simplify right side
    76,953.38x = 13,253,290,738.63
  5. Step 5: Solve for x
    x = 13,253,290,738.63/76,953.38
  6. Step 6: Final answer
    x = 172,224.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.