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Finding the Third Proportional to 127,926 and 205,420

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Solution

The third proportional to 127,926 and 205,420 is: 329,857.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,926 : 205,420 = 205,420 : x
  2. Step 2: Convert to fraction form
    127,926/205,420 = 205,420/x
  3. Step 3: Cross multiply
    127,926x = 205,420 × 205,420
  4. Step 4: Simplify right side
    127,926x = 42,197,376,400
  5. Step 5: Solve for x
    x = 42,197,376,400/127,926
  6. Step 6: Final answer
    x = 329,857.70

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.