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Finding the Third Proportional to 45,012 and 97,958

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Solution

The third proportional to 45,012 and 97,958 is: 213,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,012 : 97,958 = 97,958 : x
  2. Step 2: Convert to fraction form
    45,012/97,958 = 97,958/x
  3. Step 3: Cross multiply
    45,012x = 97,958 × 97,958
  4. Step 4: Simplify right side
    45,012x = 9,595,769,764
  5. Step 5: Solve for x
    x = 9,595,769,764/45,012
  6. Step 6: Final answer
    x = 213,182.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.