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Finding the Third Proportional to 106,400 and 161,896

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Solution

The third proportional to 106,400 and 161,896 is: 246,337.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,400 : 161,896 = 161,896 : x
  2. Step 2: Convert to fraction form
    106,400/161,896 = 161,896/x
  3. Step 3: Cross multiply
    106,400x = 161,896 × 161,896
  4. Step 4: Simplify right side
    106,400x = 26,210,314,816
  5. Step 5: Solve for x
    x = 26,210,314,816/106,400
  6. Step 6: Final answer
    x = 246,337.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.