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Finding the Third Proportional to 58,923.75 and 128,093.25

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Solution

The third proportional to 58,923.75 and 128,093.25 is: 278,459.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,923.75 : 128,093.25 = 128,093.25 : x
  2. Step 2: Convert to fraction form
    58,923.75/128,093.25 = 128,093.25/x
  3. Step 3: Cross multiply
    58,923.75x = 128,093.25 × 128,093.25
  4. Step 4: Simplify right side
    58,923.75x = 16,407,880,695.56
  5. Step 5: Solve for x
    x = 16,407,880,695.56/58,923.75
  6. Step 6: Final answer
    x = 278,459.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.