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Finding the Third Proportional to 53,265 and 111,458

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Solution

The third proportional to 53,265 and 111,458 is: 233,227.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,265 : 111,458 = 111,458 : x
  2. Step 2: Convert to fraction form
    53,265/111,458 = 111,458/x
  3. Step 3: Cross multiply
    53,265x = 111,458 × 111,458
  4. Step 4: Simplify right side
    53,265x = 12,422,885,764
  5. Step 5: Solve for x
    x = 12,422,885,764/53,265
  6. Step 6: Final answer
    x = 233,227.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.