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Finding the Third Proportional to 45,870.75 and 96,723

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Solution

The third proportional to 45,870.75 and 96,723 is: 203,949.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,870.75 : 96,723 = 96,723 : x
  2. Step 2: Convert to fraction form
    45,870.75/96,723 = 96,723/x
  3. Step 3: Cross multiply
    45,870.75x = 96,723 × 96,723
  4. Step 4: Simplify right side
    45,870.75x = 9,355,338,729
  5. Step 5: Solve for x
    x = 9,355,338,729/45,870.75
  6. Step 6: Final answer
    x = 203,949.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.