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Finding the Third Proportional to 89,520 and 121,149

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Solution

The third proportional to 89,520 and 121,149 is: 163,953.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,520 : 121,149 = 121,149 : x
  2. Step 2: Convert to fraction form
    89,520/121,149 = 121,149/x
  3. Step 3: Cross multiply
    89,520x = 121,149 × 121,149
  4. Step 4: Simplify right side
    89,520x = 14,677,080,201
  5. Step 5: Solve for x
    x = 14,677,080,201/89,520
  6. Step 6: Final answer
    x = 163,953.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.