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Finding the Third Proportional to 89,424 and 121,014

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Solution

The third proportional to 89,424 and 121,014 is: 163,763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,424 : 121,014 = 121,014 : x
  2. Step 2: Convert to fraction form
    89,424/121,014 = 121,014/x
  3. Step 3: Cross multiply
    89,424x = 121,014 × 121,014
  4. Step 4: Simplify right side
    89,424x = 14,644,388,196
  5. Step 5: Solve for x
    x = 14,644,388,196/89,424
  6. Step 6: Final answer
    x = 163,763.51

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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.