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Finding the Third Proportional to 127,827.75 and 275,277

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Solution

The third proportional to 127,827.75 and 275,277 is: 592,808.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,827.75 : 275,277 = 275,277 : x
  2. Step 2: Convert to fraction form
    127,827.75/275,277 = 275,277/x
  3. Step 3: Cross multiply
    127,827.75x = 275,277 × 275,277
  4. Step 4: Simplify right side
    127,827.75x = 75,777,426,729
  5. Step 5: Solve for x
    x = 75,777,426,729/127,827.75
  6. Step 6: Final answer
    x = 592,808.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.