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Finding the Third Proportional to 76,025.63 and 109,512.38

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Solution

The third proportional to 76,025.63 and 109,512.38 is: 157,748.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,025.63 : 109,512.38 = 109,512.38 : x
  2. Step 2: Convert to fraction form
    76,025.63/109,512.38 = 109,512.38/x
  3. Step 3: Cross multiply
    76,025.63x = 109,512.38 × 109,512.38
  4. Step 4: Simplify right side
    76,025.63x = 11,992,960,278.14
  5. Step 5: Solve for x
    x = 11,992,960,278.14/76,025.63
  6. Step 6: Final answer
    x = 157,748.92

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.