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Finding the Third Proportional to 127,551 and 184,383.75

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Solution

The third proportional to 127,551 and 184,383.75 is: 266,539.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,551 : 184,383.75 = 184,383.75 : x
  2. Step 2: Convert to fraction form
    127,551/184,383.75 = 184,383.75/x
  3. Step 3: Cross multiply
    127,551x = 184,383.75 × 184,383.75
  4. Step 4: Simplify right side
    127,551x = 33,997,367,264.06
  5. Step 5: Solve for x
    x = 33,997,367,264.06/127,551
  6. Step 6: Final answer
    x = 266,539.40

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.