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Finding the Third Proportional to 43,275 and 93,013

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Solution

The third proportional to 43,275 and 93,013 is: 199,917.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,275 : 93,013 = 93,013 : x
  2. Step 2: Convert to fraction form
    43,275/93,013 = 93,013/x
  3. Step 3: Cross multiply
    43,275x = 93,013 × 93,013
  4. Step 4: Simplify right side
    43,275x = 8,651,418,169
  5. Step 5: Solve for x
    x = 8,651,418,169/43,275
  6. Step 6: Final answer
    x = 199,917.23

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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.