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Finding the Third Proportional to 41,310 and 89,187.75

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Solution

The third proportional to 41,310 and 89,187.75 is: 192,555.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,310 : 89,187.75 = 89,187.75 : x
  2. Step 2: Convert to fraction form
    41,310/89,187.75 = 89,187.75/x
  3. Step 3: Cross multiply
    41,310x = 89,187.75 × 89,187.75
  4. Step 4: Simplify right side
    41,310x = 7,954,454,750.06
  5. Step 5: Solve for x
    x = 7,954,454,750.06/41,310
  6. Step 6: Final answer
    x = 192,555.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.