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Finding the Third Proportional to 132,322 and 173,058

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Solution

The third proportional to 132,322 and 173,058 is: 226,334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,322 : 173,058 = 173,058 : x
  2. Step 2: Convert to fraction form
    132,322/173,058 = 173,058/x
  3. Step 3: Cross multiply
    132,322x = 173,058 × 173,058
  4. Step 4: Simplify right side
    132,322x = 29,949,071,364
  5. Step 5: Solve for x
    x = 29,949,071,364/132,322
  6. Step 6: Final answer
    x = 226,334.78

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.