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Finding the Third Proportional to 127,638 and 202,017

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Solution

The third proportional to 127,638 and 202,017 is: 319,739.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,638 : 202,017 = 202,017 : x
  2. Step 2: Convert to fraction form
    127,638/202,017 = 202,017/x
  3. Step 3: Cross multiply
    127,638x = 202,017 × 202,017
  4. Step 4: Simplify right side
    127,638x = 40,810,868,289
  5. Step 5: Solve for x
    x = 40,810,868,289/127,638
  6. Step 6: Final answer
    x = 319,739.17

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.