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Finding the Third Proportional to 89,326 and 121,309

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Solution

The third proportional to 89,326 and 121,309 is: 164,743.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,326 : 121,309 = 121,309 : x
  2. Step 2: Convert to fraction form
    89,326/121,309 = 121,309/x
  3. Step 3: Cross multiply
    89,326x = 121,309 × 121,309
  4. Step 4: Simplify right side
    89,326x = 14,715,873,481
  5. Step 5: Solve for x
    x = 14,715,873,481/89,326
  6. Step 6: Final answer
    x = 164,743.45

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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.