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Finding the Third Proportional to 69,013 and 97,674

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Solution

The third proportional to 69,013 and 97,674 is: 138,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,013 : 97,674 = 97,674 : x
  2. Step 2: Convert to fraction form
    69,013/97,674 = 97,674/x
  3. Step 3: Cross multiply
    69,013x = 97,674 × 97,674
  4. Step 4: Simplify right side
    69,013x = 9,540,210,276
  5. Step 5: Solve for x
    x = 9,540,210,276/69,013
  6. Step 6: Final answer
    x = 138,237.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.