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Finding the Third Proportional to 46,901 and 67,185

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Solution

The third proportional to 46,901 and 67,185 is: 96,241.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,901 : 67,185 = 67,185 : x
  2. Step 2: Convert to fraction form
    46,901/67,185 = 67,185/x
  3. Step 3: Cross multiply
    46,901x = 67,185 × 67,185
  4. Step 4: Simplify right side
    46,901x = 4,513,824,225
  5. Step 5: Solve for x
    x = 4,513,824,225/46,901
  6. Step 6: Final answer
    x = 96,241.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.