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Finding the Third Proportional to 101,078 and 158,088

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Solution

The third proportional to 101,078 and 158,088 is: 247,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,078 : 158,088 = 158,088 : x
  2. Step 2: Convert to fraction form
    101,078/158,088 = 158,088/x
  3. Step 3: Cross multiply
    101,078x = 158,088 × 158,088
  4. Step 4: Simplify right side
    101,078x = 24,991,815,744
  5. Step 5: Solve for x
    x = 24,991,815,744/101,078
  6. Step 6: Final answer
    x = 247,252.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.