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Finding the Third Proportional to 89,468 and 131,606

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Solution

The third proportional to 89,468 and 131,606 is: 193,590.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,468 : 131,606 = 131,606 : x
  2. Step 2: Convert to fraction form
    89,468/131,606 = 131,606/x
  3. Step 3: Cross multiply
    89,468x = 131,606 × 131,606
  4. Step 4: Simplify right side
    89,468x = 17,320,139,236
  5. Step 5: Solve for x
    x = 17,320,139,236/89,468
  6. Step 6: Final answer
    x = 193,590.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.