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Finding the Third Proportional to 58,393.75 and 127,692.50

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Solution

The third proportional to 58,393.75 and 127,692.50 is: 279,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,393.75 : 127,692.50 = 127,692.50 : x
  2. Step 2: Convert to fraction form
    58,393.75/127,692.50 = 127,692.50/x
  3. Step 3: Cross multiply
    58,393.75x = 127,692.50 × 127,692.50
  4. Step 4: Simplify right side
    58,393.75x = 16,305,374,556.25
  5. Step 5: Solve for x
    x = 16,305,374,556.25/58,393.75
  6. Step 6: Final answer
    x = 279,231.50

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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.