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Finding the Third Proportional to 107,906 and 235,576

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Solution

The third proportional to 107,906 and 235,576 is: 514,299.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,906 : 235,576 = 235,576 : x
  2. Step 2: Convert to fraction form
    107,906/235,576 = 235,576/x
  3. Step 3: Cross multiply
    107,906x = 235,576 × 235,576
  4. Step 4: Simplify right side
    107,906x = 55,496,051,776
  5. Step 5: Solve for x
    x = 55,496,051,776/107,906
  6. Step 6: Final answer
    x = 514,299.96

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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.