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Finding the Third Proportional to 107,639 and 234,652

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Solution

The third proportional to 107,639 and 234,652 is: 511,539.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,639 : 234,652 = 234,652 : x
  2. Step 2: Convert to fraction form
    107,639/234,652 = 234,652/x
  3. Step 3: Cross multiply
    107,639x = 234,652 × 234,652
  4. Step 4: Simplify right side
    107,639x = 55,061,561,104
  5. Step 5: Solve for x
    x = 55,061,561,104/107,639
  6. Step 6: Final answer
    x = 511,539.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.