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Finding the Third Proportional to 127,922 and 204,363

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Solution

The third proportional to 127,922 and 204,363 is: 326,482.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,922 : 204,363 = 204,363 : x
  2. Step 2: Convert to fraction form
    127,922/204,363 = 204,363/x
  3. Step 3: Cross multiply
    127,922x = 204,363 × 204,363
  4. Step 4: Simplify right side
    127,922x = 41,764,235,769
  5. Step 5: Solve for x
    x = 41,764,235,769/127,922
  6. Step 6: Final answer
    x = 326,482.04

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.