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Finding the Third Proportional to 75,911.06 and 163,314.56

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Solution

The third proportional to 75,911.06 and 163,314.56 is: 351,353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,911.06 : 163,314.56 = 163,314.56 : x
  2. Step 2: Convert to fraction form
    75,911.06/163,314.56 = 163,314.56/x
  3. Step 3: Cross multiply
    75,911.06x = 163,314.56 × 163,314.56
  4. Step 4: Simplify right side
    75,911.06x = 26,671,646,324.57
  5. Step 5: Solve for x
    x = 26,671,646,324.57/75,911.06
  6. Step 6: Final answer
    x = 351,353.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.