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Finding the Third Proportional to 89,237.25 and 131,387.63

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Solution

The third proportional to 89,237.25 and 131,387.63 is: 193,447.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,237.25 : 131,387.63 = 131,387.63 : x
  2. Step 2: Convert to fraction form
    89,237.25/131,387.63 = 131,387.63/x
  3. Step 3: Cross multiply
    89,237.25x = 131,387.63 × 131,387.63
  4. Step 4: Simplify right side
    89,237.25x = 17,262,708,003.14
  5. Step 5: Solve for x
    x = 17,262,708,003.14/89,237.25
  6. Step 6: Final answer
    x = 193,447.33

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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.