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Finding the Third Proportional to 89,644.22 and 121,811.34

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Solution

The third proportional to 89,644.22 and 121,811.34 is: 165,521.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,644.22 : 121,811.34 = 121,811.34 : x
  2. Step 2: Convert to fraction form
    89,644.22/121,811.34 = 121,811.34/x
  3. Step 3: Cross multiply
    89,644.22x = 121,811.34 × 121,811.34
  4. Step 4: Simplify right side
    89,644.22x = 14,838,003,466.18
  5. Step 5: Solve for x
    x = 14,838,003,466.18/89,644.22
  6. Step 6: Final answer
    x = 165,521.03

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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.