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Finding the Third Proportional to 45,012 and 96,948

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Solution

The third proportional to 45,012 and 96,948 is: 208,809.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,012 : 96,948 = 96,948 : x
  2. Step 2: Convert to fraction form
    45,012/96,948 = 96,948/x
  3. Step 3: Cross multiply
    45,012x = 96,948 × 96,948
  4. Step 4: Simplify right side
    45,012x = 9,398,914,704
  5. Step 5: Solve for x
    x = 9,398,914,704/45,012
  6. Step 6: Final answer
    x = 208,809.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.