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Finding the Third Proportional to 107,427 and 234,112

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Solution

The third proportional to 107,427 and 234,112 is: 510,192.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,427 : 234,112 = 234,112 : x
  2. Step 2: Convert to fraction form
    107,427/234,112 = 234,112/x
  3. Step 3: Cross multiply
    107,427x = 234,112 × 234,112
  4. Step 4: Simplify right side
    107,427x = 54,808,428,544
  5. Step 5: Solve for x
    x = 54,808,428,544/107,427
  6. Step 6: Final answer
    x = 510,192.30

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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.