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Finding the Third Proportional to 107,437 and 234,131

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Solution

The third proportional to 107,437 and 234,131 is: 510,227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,437 : 234,131 = 234,131 : x
  2. Step 2: Convert to fraction form
    107,437/234,131 = 234,131/x
  3. Step 3: Cross multiply
    107,437x = 234,131 × 234,131
  4. Step 4: Simplify right side
    107,437x = 54,817,325,161
  5. Step 5: Solve for x
    x = 54,817,325,161/107,437
  6. Step 6: Final answer
    x = 510,227.62

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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.