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Finding the Third Proportional to 115,010 and 158,372

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Solution

The third proportional to 115,010 and 158,372 is: 218,082.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,010 : 158,372 = 158,372 : x
  2. Step 2: Convert to fraction form
    115,010/158,372 = 158,372/x
  3. Step 3: Cross multiply
    115,010x = 158,372 × 158,372
  4. Step 4: Simplify right side
    115,010x = 25,081,690,384
  5. Step 5: Solve for x
    x = 25,081,690,384/115,010
  6. Step 6: Final answer
    x = 218,082.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.