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Finding the Third Proportional to 59,538 and 127,265

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Solution

The third proportional to 59,538 and 127,265 is: 272,034.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,538 : 127,265 = 127,265 : x
  2. Step 2: Convert to fraction form
    59,538/127,265 = 127,265/x
  3. Step 3: Cross multiply
    59,538x = 127,265 × 127,265
  4. Step 4: Simplify right side
    59,538x = 16,196,380,225
  5. Step 5: Solve for x
    x = 16,196,380,225/59,538
  6. Step 6: Final answer
    x = 272,034.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.