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Finding the Third Proportional to 45,066 and 92,986

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Solution

The third proportional to 45,066 and 92,986 is: 191,860.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,066 : 92,986 = 92,986 : x
  2. Step 2: Convert to fraction form
    45,066/92,986 = 92,986/x
  3. Step 3: Cross multiply
    45,066x = 92,986 × 92,986
  4. Step 4: Simplify right side
    45,066x = 8,646,396,196
  5. Step 5: Solve for x
    x = 8,646,396,196/45,066
  6. Step 6: Final answer
    x = 191,860.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.