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Finding the Third Proportional to 101,652 and 158,014

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Solution

The third proportional to 101,652 and 158,014 is: 245,626.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,652 : 158,014 = 158,014 : x
  2. Step 2: Convert to fraction form
    101,652/158,014 = 158,014/x
  3. Step 3: Cross multiply
    101,652x = 158,014 × 158,014
  4. Step 4: Simplify right side
    101,652x = 24,968,424,196
  5. Step 5: Solve for x
    x = 24,968,424,196/101,652
  6. Step 6: Final answer
    x = 245,626.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.