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Finding the Third Proportional to 40,173 and 88,005

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Solution

The third proportional to 40,173 and 88,005 is: 192,788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,173 : 88,005 = 88,005 : x
  2. Step 2: Convert to fraction form
    40,173/88,005 = 88,005/x
  3. Step 3: Cross multiply
    40,173x = 88,005 × 88,005
  4. Step 4: Simplify right side
    40,173x = 7,744,880,025
  5. Step 5: Solve for x
    x = 7,744,880,025/40,173
  6. Step 6: Final answer
    x = 192,788.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.