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Finding the Third Proportional to 73,885 and 117,013

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Solution

The third proportional to 73,885 and 117,013 is: 185,315.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,885 : 117,013 = 117,013 : x
  2. Step 2: Convert to fraction form
    73,885/117,013 = 117,013/x
  3. Step 3: Cross multiply
    73,885x = 117,013 × 117,013
  4. Step 4: Simplify right side
    73,885x = 13,692,042,169
  5. Step 5: Solve for x
    x = 13,692,042,169/73,885
  6. Step 6: Final answer
    x = 185,315.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.