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Finding the Third Proportional to 89,295.75 and 121,272.75

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Solution

The third proportional to 89,295.75 and 121,272.75 is: 164,700.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,295.75 : 121,272.75 = 121,272.75 : x
  2. Step 2: Convert to fraction form
    89,295.75/121,272.75 = 121,272.75/x
  3. Step 3: Cross multiply
    89,295.75x = 121,272.75 × 121,272.75
  4. Step 4: Simplify right side
    89,295.75x = 14,707,079,892.56
  5. Step 5: Solve for x
    x = 14,707,079,892.56/89,295.75
  6. Step 6: Final answer
    x = 164,700.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.