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Finding the Third Proportional to 53,022 and 114,169

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Solution

The third proportional to 53,022 and 114,169 is: 245,833.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,022 : 114,169 = 114,169 : x
  2. Step 2: Convert to fraction form
    53,022/114,169 = 114,169/x
  3. Step 3: Cross multiply
    53,022x = 114,169 × 114,169
  4. Step 4: Simplify right side
    53,022x = 13,034,560,561
  5. Step 5: Solve for x
    x = 13,034,560,561/53,022
  6. Step 6: Final answer
    x = 245,833.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.