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Finding the Third Proportional to 79,531.50 and 173,058

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Solution

The third proportional to 79,531.50 and 173,058 is: 376,568.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,531.50 : 173,058 = 173,058 : x
  2. Step 2: Convert to fraction form
    79,531.50/173,058 = 173,058/x
  3. Step 3: Cross multiply
    79,531.50x = 173,058 × 173,058
  4. Step 4: Simplify right side
    79,531.50x = 29,949,071,364
  5. Step 5: Solve for x
    x = 29,949,071,364/79,531.50
  6. Step 6: Final answer
    x = 376,568.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.