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Finding the Third Proportional to 41,258 and 84,702

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Solution

The third proportional to 41,258 and 84,702 is: 173,891.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,258 : 84,702 = 84,702 : x
  2. Step 2: Convert to fraction form
    41,258/84,702 = 84,702/x
  3. Step 3: Cross multiply
    41,258x = 84,702 × 84,702
  4. Step 4: Simplify right side
    41,258x = 7,174,428,804
  5. Step 5: Solve for x
    x = 7,174,428,804/41,258
  6. Step 6: Final answer
    x = 173,891.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.