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Finding the Third Proportional to 51,030 and 108,136

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Solution

The third proportional to 51,030 and 108,136 is: 229,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,030 : 108,136 = 108,136 : x
  2. Step 2: Convert to fraction form
    51,030/108,136 = 108,136/x
  3. Step 3: Cross multiply
    51,030x = 108,136 × 108,136
  4. Step 4: Simplify right side
    51,030x = 11,693,394,496
  5. Step 5: Solve for x
    x = 11,693,394,496/51,030
  6. Step 6: Final answer
    x = 229,147.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.