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Finding the Third Proportional to 46,066 and 85,211

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Solution

The third proportional to 46,066 and 85,211 is: 157,619.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,066 : 85,211 = 85,211 : x
  2. Step 2: Convert to fraction form
    46,066/85,211 = 85,211/x
  3. Step 3: Cross multiply
    46,066x = 85,211 × 85,211
  4. Step 4: Simplify right side
    46,066x = 7,260,914,521
  5. Step 5: Solve for x
    x = 7,260,914,521/46,066
  6. Step 6: Final answer
    x = 157,619.82

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.