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Finding the Third Proportional to 107,901 and 252,021

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Solution

The third proportional to 107,901 and 252,021 is: 588,637.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,901 : 252,021 = 252,021 : x
  2. Step 2: Convert to fraction form
    107,901/252,021 = 252,021/x
  3. Step 3: Cross multiply
    107,901x = 252,021 × 252,021
  4. Step 4: Simplify right side
    107,901x = 63,514,584,441
  5. Step 5: Solve for x
    x = 63,514,584,441/107,901
  6. Step 6: Final answer
    x = 588,637.59

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.