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Finding the Third Proportional to 127,472 and 202,518

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Solution

The third proportional to 127,472 and 202,518 is: 321,745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,472 : 202,518 = 202,518 : x
  2. Step 2: Convert to fraction form
    127,472/202,518 = 202,518/x
  3. Step 3: Cross multiply
    127,472x = 202,518 × 202,518
  4. Step 4: Simplify right side
    127,472x = 41,013,540,324
  5. Step 5: Solve for x
    x = 41,013,540,324/127,472
  6. Step 6: Final answer
    x = 321,745.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.