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Finding the Third Proportional to 106,959 and 229,101

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Solution

The third proportional to 106,959 and 229,101 is: 490,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,959 : 229,101 = 229,101 : x
  2. Step 2: Convert to fraction form
    106,959/229,101 = 229,101/x
  3. Step 3: Cross multiply
    106,959x = 229,101 × 229,101
  4. Step 4: Simplify right side
    106,959x = 52,487,268,201
  5. Step 5: Solve for x
    x = 52,487,268,201/106,959
  6. Step 6: Final answer
    x = 490,723.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.