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Finding the Third Proportional to 55,783.75 and 122,588

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Solution

The third proportional to 55,783.75 and 122,588 is: 269,394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,783.75 : 122,588 = 122,588 : x
  2. Step 2: Convert to fraction form
    55,783.75/122,588 = 122,588/x
  3. Step 3: Cross multiply
    55,783.75x = 122,588 × 122,588
  4. Step 4: Simplify right side
    55,783.75x = 15,027,817,744
  5. Step 5: Solve for x
    x = 15,027,817,744/55,783.75
  6. Step 6: Final answer
    x = 269,394.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.