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Finding the Third Proportional to 101,723 and 147,967

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Solution

The third proportional to 101,723 and 147,967 is: 215,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,723 : 147,967 = 147,967 : x
  2. Step 2: Convert to fraction form
    101,723/147,967 = 147,967/x
  3. Step 3: Cross multiply
    101,723x = 147,967 × 147,967
  4. Step 4: Simplify right side
    101,723x = 21,894,233,089
  5. Step 5: Solve for x
    x = 21,894,233,089/101,723
  6. Step 6: Final answer
    x = 215,233.85

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.