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Finding the Third Proportional to 89,214 and 121,104

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Solution

The third proportional to 89,214 and 121,104 is: 164,393.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,214 : 121,104 = 121,104 : x
  2. Step 2: Convert to fraction form
    89,214/121,104 = 121,104/x
  3. Step 3: Cross multiply
    89,214x = 121,104 × 121,104
  4. Step 4: Simplify right side
    89,214x = 14,666,178,816
  5. Step 5: Solve for x
    x = 14,666,178,816/89,214
  6. Step 6: Final answer
    x = 164,393.24

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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.