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Finding the Third Proportional to 58,704.75 and 127,887.75

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Solution

The third proportional to 58,704.75 and 127,887.75 is: 278,602.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,704.75 : 127,887.75 = 127,887.75 : x
  2. Step 2: Convert to fraction form
    58,704.75/127,887.75 = 127,887.75/x
  3. Step 3: Cross multiply
    58,704.75x = 127,887.75 × 127,887.75
  4. Step 4: Simplify right side
    58,704.75x = 16,355,276,600.06
  5. Step 5: Solve for x
    x = 16,355,276,600.06/58,704.75
  6. Step 6: Final answer
    x = 278,602.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.