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Finding the Third Proportional to 58,845 and 90,036

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Solution

The third proportional to 58,845 and 90,036 is: 137,759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,845 : 90,036 = 90,036 : x
  2. Step 2: Convert to fraction form
    58,845/90,036 = 90,036/x
  3. Step 3: Cross multiply
    58,845x = 90,036 × 90,036
  4. Step 4: Simplify right side
    58,845x = 8,106,481,296
  5. Step 5: Solve for x
    x = 8,106,481,296/58,845
  6. Step 6: Final answer
    x = 137,759.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.