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Finding the Third Proportional to 43,482 and 90,726

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Solution

The third proportional to 43,482 and 90,726 is: 189,301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,482 : 90,726 = 90,726 : x
  2. Step 2: Convert to fraction form
    43,482/90,726 = 90,726/x
  3. Step 3: Cross multiply
    43,482x = 90,726 × 90,726
  4. Step 4: Simplify right side
    43,482x = 8,231,207,076
  5. Step 5: Solve for x
    x = 8,231,207,076/43,482
  6. Step 6: Final answer
    x = 189,301.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.