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Finding the Third Proportional to 53,030 and 111,512

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Solution

The third proportional to 53,030 and 111,512 is: 234,488.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,030 : 111,512 = 111,512 : x
  2. Step 2: Convert to fraction form
    53,030/111,512 = 111,512/x
  3. Step 3: Cross multiply
    53,030x = 111,512 × 111,512
  4. Step 4: Simplify right side
    53,030x = 12,434,926,144
  5. Step 5: Solve for x
    x = 12,434,926,144/53,030
  6. Step 6: Final answer
    x = 234,488.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.