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Finding the Third Proportional to 52,174 and 69,896

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Solution

The third proportional to 52,174 and 69,896 is: 93,637.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,174 : 69,896 = 69,896 : x
  2. Step 2: Convert to fraction form
    52,174/69,896 = 69,896/x
  3. Step 3: Cross multiply
    52,174x = 69,896 × 69,896
  4. Step 4: Simplify right side
    52,174x = 4,885,450,816
  5. Step 5: Solve for x
    x = 4,885,450,816/52,174
  6. Step 6: Final answer
    x = 93,637.65

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.