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Finding the Third Proportional to 89,211.38 and 131,351.63

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Solution

The third proportional to 89,211.38 and 131,351.63 is: 193,397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,211.38 : 131,351.63 = 131,351.63 : x
  2. Step 2: Convert to fraction form
    89,211.38/131,351.63 = 131,351.63/x
  3. Step 3: Cross multiply
    89,211.38x = 131,351.63 × 131,351.63
  4. Step 4: Simplify right side
    89,211.38x = 17,253,249,390.14
  5. Step 5: Solve for x
    x = 17,253,249,390.14/89,211.38
  6. Step 6: Final answer
    x = 193,397.42

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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.