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Finding the Third Proportional to 46,185 and 73,422.75

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Solution

The third proportional to 46,185 and 73,422.75 is: 116,724.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,185 : 73,422.75 = 73,422.75 : x
  2. Step 2: Convert to fraction form
    46,185/73,422.75 = 73,422.75/x
  3. Step 3: Cross multiply
    46,185x = 73,422.75 × 73,422.75
  4. Step 4: Simplify right side
    46,185x = 5,390,900,217.56
  5. Step 5: Solve for x
    x = 5,390,900,217.56/46,185
  6. Step 6: Final answer
    x = 116,724.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.