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Finding the Third Proportional to 127,130 and 188,523

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Solution

The third proportional to 127,130 and 188,523 is: 279,563.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,130 : 188,523 = 188,523 : x
  2. Step 2: Convert to fraction form
    127,130/188,523 = 188,523/x
  3. Step 3: Cross multiply
    127,130x = 188,523 × 188,523
  4. Step 4: Simplify right side
    127,130x = 35,540,921,529
  5. Step 5: Solve for x
    x = 35,540,921,529/127,130
  6. Step 6: Final answer
    x = 279,563.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.