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Finding the Third Proportional to 127,685 and 202,086

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Solution

The third proportional to 127,685 and 202,086 is: 319,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,685 : 202,086 = 202,086 : x
  2. Step 2: Convert to fraction form
    127,685/202,086 = 202,086/x
  3. Step 3: Cross multiply
    127,685x = 202,086 × 202,086
  4. Step 4: Simplify right side
    127,685x = 40,838,751,396
  5. Step 5: Solve for x
    x = 40,838,751,396/127,685
  6. Step 6: Final answer
    x = 319,839.85

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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.