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Finding the Third Proportional to 89,424.25 and 121,014.38

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Solution

The third proportional to 89,424.25 and 121,014.38 is: 163,764.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,424.25 : 121,014.38 = 121,014.38 : x
  2. Step 2: Convert to fraction form
    89,424.25/121,014.38 = 121,014.38/x
  3. Step 3: Cross multiply
    89,424.25x = 121,014.38 × 121,014.38
  4. Step 4: Simplify right side
    89,424.25x = 14,644,478,956.64
  5. Step 5: Solve for x
    x = 14,644,478,956.64/89,424.25
  6. Step 6: Final answer
    x = 163,764.07

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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.