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Finding the Third Proportional to 115,372 and 173,058

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Solution

The third proportional to 115,372 and 173,058 is: 259,587

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,372 : 173,058 = 173,058 : x
  2. Step 2: Convert to fraction form
    115,372/173,058 = 173,058/x
  3. Step 3: Cross multiply
    115,372x = 173,058 × 173,058
  4. Step 4: Simplify right side
    115,372x = 29,949,071,364
  5. Step 5: Solve for x
    x = 29,949,071,364/115,372
  6. Step 6: Final answer
    x = 259,587

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.