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Finding the Third Proportional to 58,922.44 and 128,845.69

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Solution

The third proportional to 58,922.44 and 128,845.69 is: 281,746.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,922.44 : 128,845.69 = 128,845.69 : x
  2. Step 2: Convert to fraction form
    58,922.44/128,845.69 = 128,845.69/x
  3. Step 3: Cross multiply
    58,922.44x = 128,845.69 × 128,845.69
  4. Step 4: Simplify right side
    58,922.44x = 16,601,211,187.35
  5. Step 5: Solve for x
    x = 16,601,211,187.35/58,922.44
  6. Step 6: Final answer
    x = 281,746.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.